Grandma May's Lemon Berry Pie

4 oz. cream cheese
1 Tbsp. milk
1 Tbsp. sugar
1 Tbsp. lemon juice
2 tsp. lemon peel
1 1/2 cups cool whip
1 cup milk
1 pint strawberries cut in half
1 small pkg. instant lemon pudding
Graham crust

In small bowl, beat cream cheese, milk and sugar until blended. Mix in lemon juice and peel. Spread in pie crust and top with strawberries.
Mix milk and pudding together. Once thick, fold in 1/2 cup cool whip. Spoon over strawberries.
Cover and refrigerate 2 hours. Garnish with remaining cool whip.