Preheat your gas grill with all the burners on high 10 to 15 minutes before you plan to cook. (Alternatively, start a charcoal grill.) Once heated, turn off or lower half the burners, creating an area of direct heat and an area of indirect heat. (Alternatively, bank a charcoal grill to create areas of direct and indirect heat.) Set up a workspace near the grill with space for shaping the pizza and bowls with sauce and toppings.
Make 8 small pizzas or 2 large pizzas; pull and stretch a dough ball in your hands or roll out on a lightly floured surface into desired shape.
Prick dough to prevent bubbles while cooking.
Flip the shaped pizza onto the grill over direct heat. Close the grill. Let the pizza grill until the bottom is just barely cooked and shows char marks, 1 to 4 minutes. Every grill is different, and depending on yours and how long you preheated it, this time could vary.
Use tongs to flip the pizza over and move it to the indirect heat. Quickly spread it with sauce and spread a thin layer of toppings over top. (Don't over-top the pizza as this will interfere with it cooking quickly and completely.) Close the grill and cook until the toppings are warmed through and the cheese is melted, another 2 to 3 minutes. Again, time on your grill may vary. Use your sense of smell; if the pizza smells like it's scorching, open the grill and rotate the pizza into a cooler spot
Use tongs or a large spatula to slide the finished pizza onto a cutting board.