Let cookie dough stand at room temperature for 5-10 minutes to soften. Press into an ungreased 13-in. x 9-in. baking pan. Bake at 350° for 14-16 minutes or until golden brown. Cool on a wire rack.
In a large bowl, beat cream cheese and confectioners' sugar until smooth. Fold in 1-3/4 cups whipped topping. Spread over crust.
In a large bowl, whisk milk and pudding mixes for 2 minutes; let stand for 2 minutes or until soft-set. Spread over cream cheese layer. Top with remaining whipped topping. Sprinkle with nuts and chocolate curls if desired.
Cover and refrigerate for 8 hours or overnight until firm.