Shape the pizza dough by flattening it with your hands on a slightly floured surface. Either use your fingers to stretch the dough out, or hold up the edges of the dough with your fingers, letting the dough hang and stretch, while working around the edges of the dough. Once you've stretched the dough, let it sit for 5 minutes and then push out the edges with your fingers again, until you have a nice round shape, about 12-inches in diameter. Do not make a raised rim, it will interfere with the grilling process.
Note that if you are preparing the pizza dough for a party, you can make several pizza dough rounds, stack them separated by parchment paper, and keep them in the refrigerator for up to two hours