Preheat oven to 350 degrees F. Grease and flour the bottom and sides of a 9-inch spring form pan, shake out the excess flour.
In a medium sized bowl sift together all-purpose flour, baking powder and salt.
In a large mixing bowl, whisk eggs and sugar until frothy and pale, about 2-3 minutes.
Whisk in olive oil. Stir in freshly grated lemon zest and vanilla extract.
Stir in half of the flour mixture and milk. Stir in the remaining flour mixture and mix until smooth.
Toss blueberries with some flour, in order to prevent them from sinking to the bottom of the cake, and gently stir into the batter. Pour the mixture into the prepared pan.
Bake for 35-40 minutes until golden and a toothpick inserted in the center comes out clean.
Transfer onto a wire rack and after about 10 minutes gently remove the side of the pan. Let cool completely.
Dust lightly with powdered sugar before serving.