Place half of the ladyfingers, cut sides down, on cooled pie crust. Spread half of the pudding over ladyfingers. Top with 1 cup of the sliced strawberries. Place remaining ladyfingers, cut sides down, over strawberries. Top with remaining pudding and remaining 1 cup sliced strawberries. Gently spread whipped topping evenly over top of pie. Refrigerate at least 1 hour until chilled before serving.