- 1 cup warm water (105°F to 115°F)
- 1 tablespoon sugar
- 1 envelope dry yeast
- 3 tablespoons olive oil
- 3 cups (or more) all purpose flour
- 1 1/2 teaspoons salt
- 1 tablespoon chopped fresh rosemary
Combine water and sugar in a food processor. Sprinkle yeast over; let stand until foamy, about 10 minutes. Add oil, then 3 cups flour and salt. Process until dough comes together, about 1 minute.
Turn dough out onto floured work surface. Sprinkle with rosemary. Knead until dough is smooth and elastic, adding more flour by tablespoonfuls if dough is sticky, about 5 minutes.Lightly oil large bowl. Add dough; turn to coat with oil. Cover bowl with plastic, then towel. Let stand in warm draft-free area until dough doubles, about 1 hour. To test that the dough has risen sufficiently, push two fingers into it. The depressions should remain.
Punch down dough. Knead dough in bowl until smooth, about 2 minutes. Divide dough into 4 equal pieces. Stretch out each piece on floured surface to 9-inch round. To prevent the dough from sticking as you stretch it, use flour sparingly; too much will result in a tough crust.
Place 2 dough rounds on grill. Grill over medium heat until top of dough puffs and underside is crisp, about 3 minutes. Turn rounds over. Grill 1 minute. Transfer to baking sheet with well-grilled side up. This side of the dough becomes the surface that will hold the toppings.
Finish off in the broiler.