Measure warm water (between 100°-110°F) in a measuring cup, then add the yeast and sugar. Stir gently, then let sit until it’s active and foamy. This will happen within 5 minutes. If it doesn’t, your water may have been too hot or cold or your yeast may be old. It is important to use a thermometer to measure your water temp. An instant read thermometer is best but in a pinch a meat thermometer will do.
Mix 1 cup flour with salt, sugar, and yeast in the bowl of a stand mixer. Set aside. If doing this by hand, just mix it in a large bowl.
Measure warm water (between 120°-130°F) in a measuring cup. Add the oil. Add the liquid ingredients to the dry ingredients and mix with dough hook, scraping the sides of the bowl as needed, until a wet mixture forms. Add one more cup flour and continue mixing, then add as much flour as you need for the dough to come together in a ball (about 3/4 cup - 1 cup). If doing this by hand, use a wooden spoon until you can't anymore then get your hands in the bowl.
Turn out dough onto a floured surface. Knead for just a few minutes, or until the dough comes together and springs back when pressed with two fingers. Cover and let rest for 10 minutes.
Cut parchment paper to fit the pan you’re using, hanging over just about an inch on all sides our circumference. Preheat oven to 500°F. Place pizza pan in the oven while the oven is preheating. Place your pizza dough on the sized parchment paper and top as desired. Once the oven is up to temperature, carefully transfer the pizza to the hot pan (be careful - pan is HOT). Cook until the cheese is melted and crust is slightly browned, 10-20 minutes depending on thickness, size, and toppings.