Place a pizza stone or inverted baking sheet on the lowest oven rack; preheat oven to 500°F or highest setting. Coat a 12½-inch pizza pan with cooking spray and dust with cornmeal.
Prepare Whole-Wheat Pizza Dough, if using.
Heat oil in a large nonstick skillet over medium-high heat. Add onions and cook, stirring occasionally, until golden and tender, 10 to 15 minutes. Add water, garlic and rosemary and cook, stirring, until fragrant, 1 to 2 minutes more. Season with salt and pepper.
On a lightly floured surface, roll the dough into a 13-inch circle. Transfer to the prepared pan. Turn edges under to make a slight rim. Spread the onion mixture over the dough. Scatter goat cheese and olives over the onions.
Place the pizza pan on the heated pizza stone (or baking sheet) and bake the pizza until the edges are golden and the topping is bubbling, 10 to 20 minutes. Slice into wedges and serve.