Preheat your grill to be about 500 degrees. I use a gas grill and pay attention to the thermometer on the lid of the grill. The grill itself will be hotter than 500 degrees, but that's a good benchmark to look for before adding your dough.
Stretch out your pizza dough into the shape and size you want and either place or slide* onto the grill, being sure to avoid known hot spots.
Cover and cook your crusts until they are puffed, bubbly and have grill marks and a few charred spots, about 2 minutes. It should release from the grill easily for flipping.
Flip your pizza and quickly add sauce, cheese and any desired toppings. Cover and cook another 2-3 minutes or until cheese has melted completely and bottom of crust has grill marks and a few charred spots.
Remove from grill, cut into pieces and serve.
*If you want to maintain more of an exact shape, consider rolling your dough out on a pizza peel with cornmeal to prevent sticking and then sliding it off carefully onto your hot grill.