Preheat the oven to 500 degrees F (250 C) and preheat a pizza stone or baking sheet for at least 30 minutes. While the stone is preheating, set out the pizza dough and allow to come to room temperature.
Meanwhile, prepare the sauce by combining tomatoes, garlic, olive oil, salt, and pepper in a medium bowl. Stir and set aside. Prepare and set aside your cubed mozzarella, grated parmesan, and torn basil, as well.
When ready to assemble, lay out a large square of parchment paper and dust lightly with cornmeal. Shape the pizza dough into a 12”-14” circle using lightly floured hands and/or a rolling pin. Lay the shaped dough on the cornmeal-dusted surface. Lightly brush the outer edge of the crust with olive oil.
Spread a thin layer of sauce onto the dough. Sprinkle the cubed mozzarella on top, followed by the grated parmesan and about half of the torn basil leaves.
Using a pizza peel or large cutting board, pick up the parchment and pizza and slide it gently into the oven on top of the preheated stone. Bake until the cheese is melted and the crust is lightly browned, 8-10 minutes. Remove from the oven, sprinkle the remaining basil over the top, and let cool slightly before slicing and serving.