Combine the flour, sugar, yeast, and salt in the bowl of a stand mixer.
While the mixer is running, add the water and 2 Tbsp of the oil. Beat until the dough forms into a ball. If the dough is sticky, add additional flour (1 Tbsp at a time), until the dough comes together in a ball. (however, if the dough is too dry, just add additional water 1 Tbsp at a time).
Lightly dust a clean work surface with flour. Scrape the dough onto the floured surface, and knead the dough for 8-10 minutes, until the dough is smooth and elastic. Shape into a smooth, firm ball.
Grease a large bowl with the remaining 2 teaspoons of olive oil. Place the dough into the bowl, and cover with plastic wrap or a kitchen towel. Set aside in a warm area to rise until double in size, about 1 hour.
Turn the dough out onto a lightly floured surface and divide into 2 pieces. Cover & let rest for 10 minutes.
Preheat oven (and pizza stone, if using) to 500° F. Roll or pat/stretch the dough into a size to fit your pizza pan or stone. Leave the rolled out dough to rise as your oven & stone heats (15-30 min).
Top your pizza as desired, reduce the oven temperature to 450. Bake 10-14 minutes, until crust is golden brown. Cut into slices.