Put warm water, sugar and yeast in the bowl of a mixer. Allow the yeast to activate for about 10 minutes
Add in the salt and 1 Tbsp olive oil.
Use a dough hook attachment on the mixer. Start at a low speed, and gradually add in the flour. Then increase the speed as you incorporate the last of the flour, so it doesn't fly all over.
Mix until a dry dough forms. Add a little more oil if it is too dry.
Remove the dough from the bowl and put on a floured surface. Sprinkle flour on top and cover. Let the dough sit about 20 minutes to 1/2 hour.
Cut the dough into smaller portions if you want or leave whole if you have a large enough stone to accomodate.
Preheat your oven to it's highest temperature. Most max out at 550. Have the pizza stone in the oven
When the oven is hot, form the dough by hand. You can roll it out if you want, but I find the dough forms better and has a better mouth feel if done by hand.
The dough can be formed on a pizza peel and slid into the oven or built on the stone itself. If you build it on the stone, be prepared to work fast. Either way, you want to dust the stone with corn meal to prevent sticking. If you are building on a peel, put some corn meal on the peel as well (also to prevent sticking).
Drizzle the pizza crust with olive oil. Top with tomato slices (thin is better), onion, and garlic, top that with the fresh mozarella, then sprinkle parmesan, oregano, salt, and pepper on.
Bake for about 10 to 15 minutes depending on how well done you want it. The cheese should be somewhat browned. Be careful that it is not too wet.
Either hand tear or slice the basil and sprinkle evenly over the pizza, Cut and serve immediately.