Preheat your oven to 350°F (175°C). Grease or line your 9x13 inch baking pan with parchment paper, leaving an overhang on the sides for easy bar removal.
In a large mixing bowl, combine the lemon cake mix, softened butter, and the egg. Use an electric mixer or whisk to blend until a smooth, thick batter forms. It will be thick but spreadable.
Press the batter evenly into the prepared baking pan, creating a smooth and even layer. This forms the sturdy but tender base of your Lemon Gooey Bars.
In a separate bowl, pour in the sweetened condensed milk and fold in the white chocolate chips gently using your spatula. Spread this mixture evenly over the lemon cake base layer.
Bake in the preheated oven for about 25-30 minutes. The edges should be golden brown, and the center should be set but still slightly soft to the touch—this ensures the gooey texture you’re aiming for.
Allow the bars to cool completely in the pan on a cooling rack. Once cool, use the parchment paper overhang to lift the bars out of the pan. Slice into squares and serve.