Preheat oven to 350°F (175°C). Grease and flour a 9×13-inch baking pan.

In a large bowl, combine cake mix, lemon pudding mix, vegetable oil, water, eggs, lemon juice, and lemon zest. Beat on medium speed for 2 minutes until smooth.

Pour batter into the prepared pan and spread evenly.

Bake for 30–35 minutes, or until a toothpick inserted into the center comes out clean.

While the cake bakes, prepare the glaze by whisking powdered sugar with lemon juice until smooth.

Remove cake from oven and, while still warm, poke small holes across the top with a fork.

Pour glaze evenly over the warm cake, allowing it to soak in.

Let cool completely before slicing.