Place the dough on the pizza peel: 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; see How to Stretch Pizza Dough for instructions. Then gently place the dough onto the pizza peel.
Quickly assemble the pizza: Spread a thin layer of the pizza sauce onto the dough. Top with the mozzarella cheese. Then add sliced peppers, onions, and dollops of goat cheese. Using a spoon, scoop out small dollops of the flesh onto the pizza. Sprinkle the top with kosher salt.
Bake the pizza: Transfer the pizza to the pizza stone in the oven using the pizza peel, and bake until the cheese is melted, about 7 minutes (or 1 minute in a pizza oven). Allow to cool slightly, then garnish with basil and serve.