Grease a 10 inch bundt pan with butter or baking spray. Set aside.
In a mixing bowl whisk together the flour, cornstarch, baking powder and salt. Set aside.
In the bowl of a stand mixer fitted with the paddle attachment beat the eggs, sugar, vanilla and lemon zest together on high speed until fluffy and pale yellow, about 5 minutes.
Lower the speed to low and add in the Olive Oil and lemon juice. Mix until fully incorporated.
Alternate adding in the dry ingredients with the milk ending with the dry ingredients. Mix just until all the dry ingredients are absorbed. Do not over mix.
Pour into the prepared pan and bake for 35-45 minutes. Allow to cool in the pan for 10 minutes and then transfer to a plate to cool completely.
For the Glaze:
In a small mixing bowl whisk together the Confectioners Sugar and lemon juice until smooth. You can make the glaze as thin or as thick as you like by adding more or less lemon juice.