In a mixing bowl, combine the warm water, active dry yeast, and granulated sugar. Stir gently and let the mixture sit for about 5-10 minutes until it becomes frothy.
In a separate bowl, whisk together the all-purpose flour and salt to evenly distribute the salt.
Once the yeast mixture is frothy, add it to the bowl of flour along with the olive oil. Mix until a shaggy dough forms using a dough whisk or wooden spoon.
Transfer the dough to a lightly floured surface. Knead for about 8-10 minutes until smooth and elastic. Add more flour if sticky.
Shape the dough into a ball and place in a lightly greased bowl. Cover with a damp kitchen towel and let rise in a warm place for about 1 hour, or until doubled in size.
About 15 minutes before dough is ready, preheat oven to 475°F (245°C). Place pizza stone in oven if using.
Punch down the risen dough and divide into 8 equal pieces. Roll each into a ball then flatten into a 1/4-inch thick round disc. Dust with flour as needed.
Cover the discs with a damp kitchen towel and let rest for about 30 minutes to puff up.
Carefully transfer discs to the preheated oven or pizza stone. Bake for 5-7 minutes until pitas puff up and are lightly golden.
Remove pita bread from oven and cool on a wire rack. Serve warm or store for later use.