Preheat the oven to 170°C (338°F).
Combine Greek yogurt and sugar in a bowl and mix well.
Add eggs one at a time, stirring thoroughly after each addition.
Sift in cake flour and baking powder, then whisk all together.
Add lemon juice and vanilla extract.
Lightly grease the pan with olive oil and pour in the batter.
Bake in the oven at 170°C (338°F) for 35 to 40 minutes.
Let it cool before serving.