In a mixer, combine 1/2 cup of the warm water with the sugar and yeast.
Stir to dissolve the yeast and let rest for 5 minutes.
Add the remaining 1 cup of warm water, and the olive oil, salt and vinegar.
Start mixing on low and slowly add the flour, kneading 7 mins.
Cover the bowl with plastic wrap and place in oven on proof setting or on counter.
Let double in size 90 mins.
Punch down on lightly floured counter and divide into 2.
Roll out to desired size you want on a piece of parchment paper.
Preheat oven 500 with a stone in it.
Lightly brush dough with olive oil and prick it with a fork all over.
Place the dough and the parchment it's on directly onto the stone.
Bake 9 minutes until just starting to get lightly browned. (I pull it off the parchment about 5 minutes into the baking time.)
Remove and top with sauce and cheese.
Place back in and bake until the cheese is melted and yummy! (10 mins more in my oven)
Keep an eye on it!
This produced a perfectly crispy crust! If you like it softer, bake at 475.