In a bowl stir sugar into warm water. Sprinkle the active yeast over top and let sit to proof for 10 minutes. Next, stir in flour, salt and olive oil. Knead until soft and barely sticky. Coat a bowl with olive oil, place the dough in the bowl and cover with a warm damp towel. Move to a warm place to rise and double in size.
Once raised, remove dough and preheat oven to 500 degrees. I used my pizza stone for cooking these, so it went in the oven when I preheated it. You could use a cookie sheet placed upside down as well--
Place 1 to 2 pitas on baking sheet or pizza stone . Bake for 4-5 minutes or until puffed in center and golden around the edges. Take out and put on a plate or cooling rack. Let them cool before stacking!
Repeat with remaining pitas.
Once cool store in a plastic bag and refrigerate for a couple days or freeze up to two months or cut in half and fill! Enjoy!