In a mixing bowl, combine flour and butter for the crust. Add ice water and mix until dough forms. Divide dough in half, wrap in plastic, and chill for 30 minutes.
Roll out one half of the dough and fit it into the iron skillet. Trim excess dough.
In another bowl, mix apples, granulated sugar, brown sugar, cinnamon, nutmeg, flour, and lemon juice. Pour into the crust-lined skillet.
Roll out the second half of the dough and place it over the filling. Trim and crimp edges to seal. Cut slits in the top crust to vent.
Bake for 45 minutes or until the crust is golden brown and the filling is bubbly. Let cool before serving.