In a small bowl, combine the warm water, sugar, and yeast. Let it sit for about 5-10 minutes, or until it becomes frothy.
In a large bowl, combine the flour and salt. Make a well in the center and pour in the yeast mixture and olive oil.
Mix until a dough forms. Knead the dough on a floured surface for about 5-7 minutes, or until smooth and elastic.
Place the dough in a lightly oiled bowl, cover with a damp cloth or plastic wrap, and let it rise in a warm place for about 1 hour, or until doubled in size.
In a small bowl, mix the za'atar spice mix with the olive oil to form a paste.
Preheat your oven to 475째F (245째C). If using a baking stone, place it in the oven while it preheats.
Punch down the risen dough and divide it into 4-6 equal portions.
On a floured surface, roll out each portion into a round flatbread about 1/4 inch thick.
Place the rolled-out dough onto a baking sheet or pizza stone.
Spread a generous layer of the za'atar mixture evenly over each piece of dough. If desired, sprinkle with grated cheese.
Bake in the preheated oven for about 8-10 minutes, or until the edges are golden and the topping is fragrant.
Remove from the oven and let cool slightly before cutting into wedges.
Enjoy your meal!