Combine warm water, active dry yeast, and sugar in a large bowl. Mix in ½ cup flour and let it sit for 10 minutes, allowing the mixture to puff up.
Mix in olive oil and salt, then gradually stir in the remaining flour. Knead the dough for 3-5 minutes until smooth.
Form the dough into a ball, coat with oil, and allow it to rise in a warm place for 1 hour until it doubles in size.
Punch down the dough and divide it into 8 pieces. Roll each piece into a ball and cover with a damp paper towel for 10-15 minutes.
Roll each ball into circles about ⅛ inch thick.
Preheat the oven to 475°F. Place the rolled-out dough on a preheated pizza stone or cast iron skillet and cook for 2-3 minutes until puffed. Flip and cook for an additional minute.
Heat a cast iron skillet over medium heat, brush with oil, and cook the rolled dough for 2-3 minutes until puffed, then flip and cook for an additional minute.
Remove the pita bread and cover with a towel to keep warm. Serve with your favorite meal.
Notes
Knead the dough well for smooth texture.
Ensure water is warm but not hot when activating yeast.