In a large bowl, whisk the warm water, sugar, and yeast. Let it sit for 5–10 minutes until foamy.
Add flour, salt, and olive oil. Stir until a shaggy dough forms, then knead it on a floured surface for about 8 minutes.
Place the dough in a greased bowl, cover with a towel, and let it rise in a warm place for 1 hour or until doubled in size.
Punch it down and divide into 8 pieces. Roll each into a ball and then flatten into 1/4-inch thick rounds.
Heat a skillet over medium-high. Cook each pita for about 1–2 minutes per side, until puffed and golden in spots.
Stack the pitas in a clean towel to keep warm and soft. Serve immediately or let cool and store.