Preheat oven to 400. Line a cast iron skillet with parchment paper and set aside. The parchment paper is optional, but you'll thank yourself for using it when it's clean up time.
Roll out dough to about 10" circle (this does not need to be perfect) and lay in lined cast iron skillet.
Layer sliced peaches on dough, creating a circle that domes in the middle. Sprinkle peaches with brown sugar, pinch of salt, and cinnamon.
Fold sides of pie dough over peaches. Brush dough with melted butter and line edges with sliced almonds.
Bake galette in oven for 45-50 minutes, until peaches are bubbling and crust is beginning to brown.
Let cool at least an hour before slicing to give the liquid inside the galette time to settle. Enjoy!