First, make sure you leave your eggs and greek yogurt out to get to room temperature. Divide the strawberries into 3 piles on a small plate. One pile of diced for the inside of your cake, one pile of halves for the top of the cake, and a handful of diced for the strawberry puree sauce.
Preheat oven to 375 degrees Fahrenheit. Line a 9 inch cake pan with parchment paper and set aside.
In a large bowl, beat the eggs and sugar on medium speed for 5 minutes or until white and fluffy. Then add in the vanilla, greek yogurt, lemon zest (optional) and olive oil. Continue to mix until smooth.
In a separate small bowl, combine your dry ingredients (flour, salt, baking powder). Add them to your wet ingredients in increments of 3 and mix on low speed until the batter is just combined. As soon as you see no more flour, stop mixing. You do not want to over mix this batter, it will create a dense cake.
Add half of the batter to your cake pan then spread the diced strawberries on top. Pour the remaining batter on top and spread to cover the strawberries. Grab the strawberry halves and arrange them in a design on the top of the cake. Or you can just pour batter to the pan all at once and leave out the middle layer of strawberries if you do not have enough or just want less! Put in your preheated oven and bake for 45-50 minutes or until the toothpick comes out with a couple crumbs on it. While the cake bakes, prepare the strawberry puree. Blend the handful of diced strawberries with sugar and lemon juice in a blender until smooth. Remove cake from oven and cool. Top with sifted powdered sugar and slice. Serve with a drizzle of the strawberry puree and enjoy!