Whisk the warm water, yeast, and granulated sugar together in the bowl. Cover and allow to rest for 5 minutes.
In bowl of a stand mixer fitted with a dough hook or paddle attachment, whisk together flour and salt. If you don't have a stand mixer, add flour and salt in a large bowl and knead dough with your hands in the following step.
Add yeast mixture and oil to the flour. Beat on low speed for 2 minutes until it forms into a ball. Turn the dough out onto a lightly floured surface. With lightly floured hands, knead the dough for 5-6minutes. After kneading, the dough should still feel a little soft but not tacky*. Divide the dough into two round sections and form into two balls.
Lightly flour 2 medium bowls and place each ball of dough in its own bowl. Brush top of the dough with oil to prevent from drying out. Cover each bowl with a clean kitchen towel and allow to rise at room temperature until it is double in size. This may take 45 minutes to 90 minutes depending on the room temperature an
Place pizza stone in oven and preheat oven to 475°F. Allow pizza stone 20-25 minutes to heat up before placing pizzas on it.
When the dough is ready, transfer dough, one at a time, onto a floured pizza peel or you can dust it with cornmeal instead. Using lightly floured hands, press in the center of the dough then stretch and flatten the disc into a 8-10 inch disk, depending on the desired thickness.
Add desired sauce and toppings to pizza. When ready, gently slide pizza onto a the hot pizza stone and bake for 12-15 minutes. Once the first pizza is ready, remove from pizza stone and make the second pizza, repeating the same steps.
Slice the pizza while still hot and serve immediately.