Turn the Instant Pot to saute. Add in 1/2 tablespoon olive oil and 2 tablespoons unsalted butter and let the butter melt. Once the butter has melted, add in the 1 small onion (minced) and 1 medium carrot (shredded) and saute until the onions just begin to soften. This should only take 3-4 minutes. Hit cancel on the Instant Pot to turn off the saute function.: The pan should be hot enough that the olive oil shimmers and the butter melts into it with a faint sizzle, releasing a warm, nutty aroma. You will hear a gentle hiss as the liquids hit the hot surface, and within seconds the butter will foam and then settle, which is your signal to add the vegetables. This step is about building the flavor base through gentle cooking, not browning hard, so keep the heat moderate; too high a temperature risks scorching the butter and creating bitter notes. If you notice any scorched smell, remove the pot from heat and wipe it clean before restarting to avoid a burnt undertone in the soup. The goal is a soft, sweet aromatic bed for the next ingredients.
Add in 3 cups low-sodium chicken stock to the inner pot and use a wooden spoon or spatula to scrape up any browned bits off the bottom of the inner pot. Add in the 1/2 teaspoon kosher salt, 1/2 teaspoon garlic powder, and 1/2 teaspoon black pepper and stir to incorporate.: As the onion and carrot warm, you will smell a sweet, savory perfume and see the onion edges turn translucent while the carrot softens and slightly loses its raw shine. The sound becomes more of a gentle sizzle than a pronounced crackle. Saut e9ing briefly unlocks their sugars so the soup tastes rounded rather than flat. A common mistake is to overcook until the onion browns, which shifts the flavor profile; stop when they are softened and aromatic.
Add 4 cups fresh broccoli florets to the inner pot. No need to stir in the broccoli.: When the chicken stock hits the hot base you will hear a louder sizzling as the liquid boils away any sticky bits, and those browned bits lift up, carrying concentrated flavor into the broth. Stirring distributes the seasoning so every spoonful will be balanced. This deglazing is crucial because leftover stuck bits can trigger a burn warning on the cooker and create an acrid taste, so scrape thoroughly. If you spot a stubborn patch, pour a little more stock and let it bubble for a moment to loosen it before scraping.
Place the lid on the inner pot and be sure the venting knob is pointed towards sealed. Set the cooking time to zero minutes. Hit manual or pressure cook and use the +/- buttons to adjust until it reads '0.': Adding the broccoli on top allows the steam and pressure to cook it evenly without mashing the florets during loading. Visually, you will see vibrant green heads floating in the broth, indicating freshness. They will steam and soften quickly under pressure to a tender, bright state. Avoid stirring them in at this stage because stirring can force pieces to the bottom where they might scorch, and keeping them layered helps maintain color and texture.
Once the cooking time has elapsed, allow the pressure to release for exactly 5 minutes, and then do a quick release of the remaining pressure. To do a quick release of pressure, use a long wooden spoon or spatula to knock the venting knob from the sealed to the venting position. Stand back, so as not to burn yourself.: Sealing the valve creates a high pressure environment that cooks the broccoli quickly while preserving color, aroma, and nutrients. Setting to zero minutes sounds odd, but the trapped steam during the pressurizing process is enough to soften the florets perfectly without overcooking. You will notice the cooker building pressure with a low hum and steam stage, and then it will hold before you begin the release. A frequent error is forgetting to seal the valve, which prevents pressure buildup and leaves the vegetables undercooked.
Once the pressure has been released, open up the inner pot and turn the Instant Pot back to saute. While the soup is heating, mix together 2 tablespoons cornstarch with 2 cups half and half until the cornstarch is dissolved. Add to the broccoli soup, whisking often, until the soup has thickened slightly. You can expect the broccoli to break down when stirred. This will take just a few minutes. Once thickened, turn the Instant Pot off by hitting cancel.: During the 5 minute natural release the pot's internal orchestra quiets as steam subsides and pockets of heat redistribute, which helps the broccoli settle rather than violently breaking down. When you perform the quick release you will hear a rush of steam and possibly a whistling, so maintain distance to avoid burns. This controlled release helps avoid an over softened, mushy texture. A mistake is releasing all pressure immediately, which can cause the soup to sputter and the broccoli to disintegrate.
Stir in 2 cups sharp cheddar cheese (shredded). Place the lid back on the inner pot and let it sit for 3-5 minutes, allowing it to heat through and the cheese to melt.: As you return to saut e9 mode, the soup will come to a gentle simmer, and you will see tiny bubbles at the edges as the cornstarch slurry activates. Whisking constantly prevents lumps, and you will notice the body of the soup becoming silkier and clinging more to the whisk. The aroma grows creamier and richer as the starch sets. Avoid adding the slurry cold and leaving it unmixed or you may end up with grainy pockets; dissolve it fully before adding. Over thickening is common, so stop when it lightly coats the back of a spoon.
Once the cheese has fully melted, serve the Broccoli Cheddar Soup.: After adding the grated cheddar cheese you will see ribbons of orange fold into the pale soup, and resting under the lid lets the residual heat melt it into a glossy, cohesive finish. The kitchen will fill with a warm, cheesy scent that signals readiness. This gentle melting prevents the fat from separating, which can happen if you boil the dairy with cheese aggressively. A common slip is turning the heat too high while melting the cheese, which can produce oil slicks; using residual heat is the safer route.
Once the cheese has fully melted, serve the Broccoli Cheddar Soup: The final bowl should be creamy and smooth with flecks of green and streams of melted cheddar cheese . You will notice a pleasing balance of sweet vegetal notes from the broccoli and carrot , and the savory tang of the cheddar cheese . Serve warm in preheated bowls so it stays cozy longer. If the soup seems too thick after resting, whisk in a splash more chicken stock to loosen it. Avoid overheating when reheating, as the dairy can separate if brought to a hard boil.