Fill liquid measuring cup with 1 ¼ cups warm water. Add 2 teaspoons active dry yeast and 1 teaspoon granulated sugar to water and whisk until dissolved.
Let mixture rest until foamy, approximately 5 to 10 minutes.
While yeast mixture rests, fit food processor with standard metal blade. Add 3 ⅓ cups all-purpose flour and ½ teaspoon kosher salt. Secure lid on food processor and pulse ingredients until just incorporated.
When yeast is frothy, turn food processor on and pour yeast mixture through feed tube. Process mixture 30 to 60 seconds, until liquid is fully incorporated and dough pulls away from sides of food processor bowl, forming ball of dough.
Remove ball of dough from food processor and coat with 3 teaspoons extra virgin olive oil, making sure oil is distributed evenly over surface of dough.
Place dough ball in large bowl and cover tightly with food-safe plastic wrap. Alternately, place dough in food-safe sealable plastic bag and seal.
Place dough in warm area and let rise 45 minutes.
Toward end of rise, preheat oven to 425° Fahrenheit. Lightly grease large baking sheet or pizza pan with neutral-flavored spray oil. Set aside. Cover flat work surface lightly with flour.
After 45 minutes, transfer dough to lightly-floured flat work surface. Gently rotate dough, stretching and pulling dough into large, evenly-thick pizza crust. Be careful not to tear dough or create any extremely thin spots.
Place dough on large baking sheet or pizza pan. Top dough with pizza sauce and desired toppings, then bake 20 minutes. or until crust is browned and baked through.