Here's a recipe for a traditional apple pie...Mom's Apple Pie... American Apple Pie
In a large bowl, toss the apple slices with the lemon juice. Combine the sugar, brown sugar, flour and spices together. Pour the mixture over the apples and stir to coat; set aside. Roll out half of the pie dough and place it in a deep 9" pie dish. Spoon the apple mixture into the pie dough lined dish. Dot with butter. Roll out the remaining dough and place it on top of the unbaked apple pie. Flute the edges. Cut slits in the top crust for steam to escape. Brush the top of crust with slightly beaten egg white and sprinkle with sugar, if desired. Bake in a preheated oven at 400º for 30 minutes. Reduce the oven temperature to 375º and bake for 10 to 15 more minutes, or until the crust is nicely browned and the filling is bubbling.
*Use the higher amount of sugar for tart varieties like Granny Smith, McIntosh, Transparent, and other tart apples. Use the lower amount for varieties like Golden Delicious, Gala, and other sweet apples.