In a bowl, stir together lukewarm water and sugar. Sprinkle over yeast and let sit until frothy.
In another large bowl, whisk flour and salt together. Pour in olive oil and yeast mixture. Mix until everything comes together.
Turn dough out onto a work surface and knead, adding a small amount of flour if needed, until it feels elastic and smooth. Form into a tight ball, place into an oiled bowl, and cover with a clean dish cloth. Let rise in a warm spot until doubled in size, for about an hour and a half.
Gently press down and divide into two balls. Let dough rest as you preheat the oven to as hot as it will go and place a pizza stone or baking tray in the bottom third of the oven to heat up.