Make the dough by adding the flour, yeast, salt, and sugar. Mix. Add the water, and with your wooden spoons, or hands, mix until blended. I use my KitchenAid for this process to keep everything in the bowl during the rising process. Mix for about 30 seconds. The dough should be a bit stiff. Cover the bowl with a towel, and let it sit at room temperature until the dough has doubled in volume, about 2 hours.
Once risen, divide into three portions. With one of the portions, add some flour to a large pastry board, and start rolling it out into your desired pizza shape. If you are adventurous, try tossing the pizza, to get your desired thickness.
Preheat your oven to 500 degrees with the pizza stone inside.
Lay the dough onto the preheated pizza stone, and top with garlic, then the cheese, mushroom, onion, and fresh rosemary. Place the pizza in the oven, cooking for about 20-25 minutes, or until the crust is nice and golden, or partially charred, and the cheese is nice and melted.
As I made a couple of other pizzas for the kids, I steered towards this one. As I loved the other ones, this one kept drawing me back to it. It was simple and again, that fresh rosemary not only provided a great smell, but the flavor was just spot on.