Preheat your oven to 350°F (175°C) and grease a 9-inch round cake pan.

In a large mixing bowl, whisk together the olive oil and granulated sugar until well combined.

Add the eggs one at a time, mixing well after each addition.

In a separate bowl, sift together the flour, baking powder, and salt. Gradually add this to the wet mixture, alternating with the lemon juice and vanilla extract.

Fold in the lemon zest until just combined, then pour the batter into the prepared cake pan.

Bake for 35-40 minutes or until a toothpick inserted into the center comes out clean.

Allow the cake to cool in the pan for 10 minutes before transferring it to a wire rack to cool completely.

In a small bowl, mix the powdered sugar with fresh lemon juice until smooth and well combined.

Drizzle the lemon glaze over the cooled cake before serving.