This looks like a brand-name recipe that's true to its name.

In bowl, mix cream cheese, sugar, 1 Tb. milk with a wire whisk till smooth. Gently stir in 1-1/2 cups of Cool Whip. Spread on bottom of the crust. In another bowl, mix pudding powder with the rest of the milk until blended. Stir in the rest of the Cool Whip and pour into crust.
Refrigerate for 4 hours.