Preheat oven to 400°F. Coat bottom and sides of 9-inch springform pan with olive oil. Use a pastry brush or your fingers to evenly coat pan. Line bottom of pan with round parchment paper. Coat parchment paper with olive oil. Add one to two tablespoons sugar to pan. Tilt and swirl pan to coat evenly with sugar. Tap out any excess sugar. Set aside.
Whisk together cake flour, corn meal, baking powder, baking soda, and salt in a medium bowl. Sir together Grand Mariner, lemon juice, and vanilla in a small bowl. Set both bowls aside.
In the bowl of a stand mixer fitted with a whisk attachment, beat together eggs, orange zest, lemon zest, and 1 cup sugar on high speed until mixture is thick and pale, about 3 minutes. With the mixer still running, slowly pour in 1 ¼ cup olive oil. Beat for about 2 minutes. Mixture should very thick.
Reduce to low speed. Add dry mixture in three additions, alternating with liquid mixture in 2 additions. Begin and end with the dry mixture. Mix until just combined. Scrape down the sides and bottom of the bowl with a spatula to ensure thorough mixing.
Pour batter into prepared springform pan. Spread into an even layer. Sprinkle top of batter with additional granulated sugar, about 2 tablespoons.
Place cake in the center rack of oven. Immediately reduce oven temperature to 350°F. Bake for about 45-50 minutes, until the top of the cake is golden brown and a tester inserted in center of cake comes out clean. Place springform pan on a wire rack and cool cake in pan for 15 minutes.
Use a toothpick or skewer to poke holes all over the top of the cake. Drizzle remaining 2 tablespoons olive oil over cake. Let sit for 10 minutes to allow cake to absorb liquid.
Run a mini offset spatula or a thin knife around the edges of the cake to loosen. Unlock springform lock and remove ring from pan. Place cake on a wire rack and cool to room temperature, about 1 hour. *For best flavor, wrap cooled cake in plastic wrap or place in an airtight container. Keep at room temperature overnight. Enjoy the following day.