Remove starter from refrigerator and let sit at room temperature for 2 hours. Combine starter, flour, salt, sugar, olive oil, and 1 cup water. Work vigorously by hand or with a stand mixer until dough forms a coarse ball that comes away from the sides of the ball, adding more water or flour as necessary, about 4 minutes. Let rest for 15 minutes. Turn out onto a lightly floured counter, dust with flour, and knead by hand until soft, supple, and no longer sticky, about 3 minutes. Alternately, mix on low speed in stand mixer until this texture is achieved, 2 to 3 minutes.