Preheat the oven to 350F. Grease an 8x8-inch baking pan with non-stick cooking spray; set aside.

In a large mixing bowl, whisk together the flour, sugar, baking soda, and salt.

Add the water, lemon juice, vegetable oil, and vinegar and stir to combine.

Pour the cake batter into the prepared pan. Bake at 350F for 25-30 minutes until a toothpick inserted into the center comes out clean.

Remove the cake from the oven and cool completely to room temperature before frosting.

To make the frosting:

In a large mixing bowl, beat the cream cheese and butter together with an electric mixer until smooth and creamy.

Beat in the lemon juice until combined.

Add the powdered sugar 1 cup at a time, mixing on low speed between each addition until all of the powdered sugar is incorporated and the frosting is smooth.

Spread the lemon cream cheese frosting over the cooled cake.