Preheat own to 400°F. Prepare a baking sheet with parchment paper or use a seasoned baking stone.
In a large skillet, melt butter of medium-high heat. Add in apples, brown sugar, sugar, lemon juice, cinnamon and nutmeg. Toss all these ingredients together, reduce heat to low, cover, and cook until apples are tender, stirring occasionally for 15-20 minutes. Remove skillet from the heat and cool.
Roll dough out on parchment paper to a 14-inch circle. Arrange apple slices in the center of the dough, making sure to leave about a 2-inches around the edge.
Fold the dough over the edge of the apples and press gently where the dough creases to seal. Brush the crust with water and then sprinkle with turbine sugar.
Bake for 45 minutes in the preheated oven or until the dough is golden.