Pour the yeast mixture into a warm mixing bowl.
Begin by adding 1/2 cup of the gluten free flour.
With a whisk, gently mix the yeast and 1/2 cup of the flour until they are combined with no lumps. Take note that you may not use all three cups of flour.
Continue adding the flour, 1/2 cup at a time. When the mixture is difficult to whisk, switch to a large kitchen spoon and continue to combine.
Add the 2 Tablespoons of olive oil and the salt. You don't want to add it too early because salt can inhibit the yeast from growing.
Continue adding the flour and mixing and kneading, until the dough forms a smooth ball. I usually end up using approximately 2½ cups of flour. It may differ depending on your flour so add the flour slowly and use your judgment.
When it is difficult to stir the dough using the spoon, begin working and kneading it with your hands, to achieve a pliable moist ball. Be careful not to add flour to the point that the dough is dry looking.
When the dough has formed a smooth ball, clean the bowl, and return the ball of dough to the bowl.
Pour a small amount of olive oil over the ball, ( 2 teaspoons or so) enough to just coat the top of the dough. Turn the dough in the bowl so that all sides of the ball are coated.
Cover the bowl with plastic wrap, and then place a clean kitchen towel over the top of the bowl.
Place the bowl in a warm place for an hour in order to rise. I turned the oven on to its lowest setting (about 190°), then turned the oven off, and let the bowl rest sitting on the open oven door. Be sure to turn the oven off. Too high of heat will prevent the dough from rising.
Let the dough rise for about an hour.
After the dough has risen, gently push down the dough with your hands to release the air.
Divide the dough into balls. Make eight if you would like smaller 4" pitas, or six if you'd like a larger pita.
Place the dough balls into the bowl, cover with a clean kitchen towel, and let it rest for 10 minutes.
At this point, you can refrigerate any of the pita dough balls that you don't want to cook immediately.
Flour the board and rolling pin lightly so the dough will not stick.
Take each ball and flatten it into a disc between the board and the heal of your hand,
With the rolling pin, roll the flattened discs out until they are round and ¼" thick. Flip the disc over and roll the other side. Try to make sure that there is an even depth across the disc.
You can smooth out the edges of the pita by placing one hand on the disc to hold it in place, and using the side of your other hand to even and smooth out the edges.
After you have the dough rolled out, sprinkle the disc on both sides with a light coat of cornmeal, for texture and to prevent sticking.