In the bowl of a stand mixer fitted with a dough hook, combine 3 ½ cups bread flour, 1 teaspoon sugar, 1 envelope instant yeast, and 2 teaspoons kosher salt.
With the mixer running on low, pour in 1 ½ cups warm water and 2 tablespoons olive oil. Mix until the dough comes together into a ball. If the dough seems very sticky, add 1 tablespoon of flour at a time until it is tacky but manageable.
Turn the dough out onto a lightly floured surface and knead briefly until smooth, then form it into a tight ball.
Lightly oil a large bowl with a little olive oil, place the dough ball in the bowl, turn to coat all sides, cover the bowl with plastic wrap, and let the dough rest in a warm spot until doubled in size, about 1 hour.
Return the risen dough to a lightly floured surface and divide it in half. Cover each half with a clean towel or plastic wrap and let rest for 10 minutes.
Place a pizza stone on the middle rack of the oven and preheat the oven to 450°F. Allow the stone to heat while the dough rests (preheating the stone for at least 20–30 minutes is recommended).
Take one piece of dough and, on a sheet of parchment sprinkled with flour, pat and/or stretch it into a 14-inch crust. Use additional flour on your hands or the surface as needed to prevent sticking.
If using toppings you have on hand, assemble them on the shaped crust now. Drizzle or brush a little extra olive oil over the surface if desired.
Using a pizza peel, transfer the pizza on the parchment onto the preheated pizza stone. If you prefer, place the pizza (without parchment) on a pizza pan instead.
Bake the pizza for about 20 minutes, or until the crust is golden brown and cooked through.
Remove the pizza from the oven with a peel and transfer it to a cooling rack. Let it rest a few minutes before slicing.
Repeat steps 7–11 with the second piece of dough.