Whisk 1 1/3 cups warm water (105 degrees F) and the sugar in a bowl; sprinkle the yeast on top. Set aside until foamy, about 10 minutes. Stir in the olive oil.
Whisk the flour and salt in a large bowl. Make a well in the center of the flour and pour in the yeast mixture. Gradually stir with a wooden spoon to make a rough dough.
Turn the dough out onto a lightly floured surface. Knead until smooth and elastic, about 5 minutes, dusting with more flour if necessary. Form into 2 balls. Brush 2 large bowls with olive oil, add a ball of dough to each and turn to coat with the oil. Cover tightly with plastic wrap and set aside at room temperature until doubled in size, about 1 hour, 30 minutes. Roll out and top as desired, or wrap in plastic wrap and freeze up to 1 month.