Combine the flours, sugar, yeast and kosher salt in the bowl of a stand mixer and combine.
While the mixer is running, add the water and 2 tablespoons of the oil and beat until the dough forms into a ball.
Scrape the dough onto a lightly floured surface and gently knead into a smooth, firm ball. Grease a large bowl with the remaining 2 teaspoons olive oil, add the dough, cover the bowl with a towel or plastic wrap and put it in a warm area to let it double in size, about 1 hour.
Turn the dough out onto a lightly floured surface and divide it into 2 equal pieces. Cover each with a clean kitchen towel or plastic wrap and let them rest for 10 minutes. Otherwise, if you want to make individual pizzas, divide into 6-8 dough balls to rise.
