In a large bowl, combine the box cake mix, pudding mix, soda, eggs, and oil. Use an electric mixer and mix at medium speed until all ingredients are incorporated.
Bake in the preheated oven for 45-50 minutes. Allow the cake to cool for 15 minutes, then turn it out onto a cooling rack to finish.
Whisk together the lemon juice and powdered sugar in a small bowl. Add milk a little at a time until the glaze reaches a thicker consistency but is still pourable.