Carefully remove the pizza stone from the oven and place the dough round on the stone. Top with half of the garlicky olive oil. Top with the half of the cheeses. Place back in the hot oven and bake until cheese is melted and bubbly and the crust is lightly browned, about 10-12 minutes. Remove from the oven. Transfer the pizza to a cutting board to let it rest. Repeat with second round of dough.