Preheat the oven to 350 F degrees.: As the oven warms, you should feel a gradual, dry heat that promises even baking. A properly preheated oven creates the right environment for rise and correct browning, so wait until the temperature is stable before sliding the cake in. If the oven is too cool the cake may bake slowly and collapse, and if it is too hot the edges will overbake before the center sets. A quick way to test readiness is an oven thermometer, which gives peace of mind and consistent results.
Lightly oil a 9-inch round springform pan and set aside.: Oiling the pan ensures the tender crumb releases cleanly, and choosing a springform pan makes unmolding easier. Coat the base and sides lightly with olive oil , then place a circle of parchment on the bottom if you like extra insurance. The visual cue to look for is a thin, even sheen rather than visible puddles. Too much oil can cause uneven browning and a greasy edge.
In a medium bowl, mix together the egg yolks, sugar, and lemon zest. Beat until smooth by hand. Whisk in the olive oil, lemon juice and almond extract. Add the almond flour in two parts, mixing until smooth and beating out any clumps.: You will notice the mixture becoming glossy and fragrant as the zest and lemon juice release citrus oils. Beating by hand produces a velvety batter; there is a satisfying drag as the spoon pulls through. Adding olive oil slowly helps emulsify the mixture, creating a homogeneous texture. When you add almond flour , do it in two portions so it hydrates evenly, and break up any lumps with a spatula. If the batter looks grainy or has concentrated pockets of dry flour, take a moment to press and smooth them out. A common misstep is rushing the incorporation, which leaves pockets of dry flour and creates uneven texture in the baked cake.
Using a stand or hand mixer, whisk the egg whites until stiff but not dry, and set aside.: As you whip the egg whites , watch for soft peaks that progress to stiff peaks. The surface should look satiny and hold shape without splitting or becoming granular. Listen for a change in sound too, from liquid sloshing to a thicker, airy whip. Avoid overwhipping to the dry, curdled stage, because that makes folding more difficult and can cause a crumbly cake. If you accidentally overwhip, you can sometimes rescue the whites by gently folding in a small amount of the yolk mixture to loosen them, but it is better to stop just shy of dryness.
Gently fold a third of the whites into the batter, then repeat with the rest until just incorporated.: Folding is where air meets structure. The first addition loosens the batter and makes it easier to combine the rest without deflating the whites. Use a wide spatula and a sweeping turn motion, cutting through the center and lifting from the bottom. The batter should look homogenous with visible streaks disappearing, not aggressively mixed. The sensory cue is a light, billowy texture rather than dense batter. If you overfold, you will notice the batter lose volume and become flat, which results in a denser final cake. Take it slow, and stop when the last streaks vanish.
Pour the batter into the prepared pan. Bake until a toothpick inserted in the center comes out clean and the top is golden brown, about 50 minutes. Allow to cool completely in the pan. Run a knife around the edge, then release the springform.: As the cake bakes, the kitchen fills with a toasted almond and citrus fragrance, and the top develops a beautiful golden brown color. You should see the edges pulling slightly from the pan and the center set with a gentle spring. The toothpick test should show a few moist crumbs but no wet batter. Cooling in the pan prevents a sudden collapse; the structure is still fragile while warm. When releasing the springform, run a thin knife around the edge to separate any stuck bits, then unlatch slowly. A typical mistake is unmolding while still warm, which can cause the cake to crack or slump.
To serve, transfer to a platter or cake plate and dust with confectioners’ sugar and top with chopped almonds or pistachios (optional). Serve alongside fresh berries and coconut yogurt. If not Kosher for Passover, you can serve with a dollop of crème fraiche or full fat Greek yogurt.: The final presentation is about contrast and balance. The powdered sugar creates a delicate snowy finish that enhances the golden hue, while chopped nuts add crunch against the tender crumb. Fresh berries bring acidity and brightness that echo the lemon . If you choose rich dairy like crème fraiche, it will add creaminess and a silky mouthfeel. Avoid heavy toppings that overwhelm the subtle citrus and almond interplay; this cake sings when served simply.