Place a pizza stone in the oven and preheat to 500°F or preheat your pizza oven.
Make the pizza sauce: Make the Homemade Pizza Sauce. (You’ll use about ⅓ cup for the pizza; reserve the remaining sauce and refrigerate for up to 1 week.)
Bake the pizza: When the oven is ready, dust a pizza peel with cornmeal or semolina flour. (If you don’t have a pizza peel, you can use a rimless baking sheet or the back of a rimmed baking sheet, but a pizza peel is well worth the investment!)
Stretch the dough into a circle, then gently place the dough onto the pizza peel.
Spread a thin layer of the pizza sauce over the dough.
Add the mozzarella cheese, then the goat cheese in large dollops. (Be generous!).
Sprinkle with the red onion slices and dried oregano. Add a few pinches of kosher salt and some fresh ground pepper, to taste.
Use the pizza peel to carefully transfer the pizza onto the preheated pizza stone. Bake the pizza until the cheese and crust are nicely browned, about 5 to 7 minutes in the oven or 1 to 2 minutes in a pizza oven.
Allow the pizza to cool for a minute or two before adding the basil on top (whole leaves, lightly torn, or thinly sliced). Slice into pieces and serve immediately.