Preheat an oven to 350 degrees. Line a 9X13 baking sheet with parchment paper, leaving an overhang of about 2 inches on both sides. Spray with nonstick cooking spray and set aside.
In a medium bowl, combine strawberries, 1 tbsp of granulated sugar, and pinch of salt. Set aside.
In a large bowl combine flour, cornmeal, 1 cup granulated sugar, baking powder, baking soda, 1 tsp kosher salt, and cardamom.
In another large bowl, combine egg yolks, eggs, cottage cheese, lemon zest, lemon juice and vanilla extract.
Combine the dry and wet ingredients. Next, add in the olive oil and fold until combined. Pour the batter into the prepared baking dish. Next, dollop some of the jam on top. Using a knife gently swirl jam into batter. Top with reserved strawberries and sprinkle a bit more sugar on top. Bake until the cake is brown, about 40 to 50 minutes, or until a toothpick inserted comes out clean.
Cool completely before serving!