Preheat your oven to 350 degrees (Fahrenheit).
While the oven is preheating, completely combine all ingredients in the lemon cupcakes portion of the ingredients list. This includes white cake mix, lemon instant pudding, melted butter, milk, and eggs.
Once completely combined, fill cupcake liners approximately 2/3 full.
Reduce the oven temperature to 325 degrees.
Bake your cupcakes for 15-20 minutes or until a toothpick comes out clean. Do not over bake.
Allow the cupcakes to cool for five minutes. Toward the end of this cooling time, mix together the ingredients for the lemon glaze. This includes just powdered sugar and lemon juice.
If you find this mixture to be too much lemon for your tastes, you can cut back on the lemon juice and add some of that as milk instead.
At the end of the five minute cooling time, poke holes in your cupcakes with a toothpick. Then immediately pour lemon glaze over the cupcakes to allow it to absorb in the holes.
Allow the cupcakes to cool completely.