Rinse the quinoa thoroughly under cold water. In a pot, combine the quinoa with the vegetable broth. Bring to a boil, then reduce heat, cover, and simmer for about 15 minutes, or until the liquid is absorbed. Let it stand for 5 minutes, then fluff with a fork.
While the quinoa is cooking, finely chop the onion and mince the garlic cloves. Grate the carrot and zucchini using a box grater.
Heat the olive oil in a pan over medium heat. Add the chopped onion and cook until translucent, about 5-7 minutes. Add the minced garlic, grated carrot, and grated zucchini. Cook for another 5-7 minutes, stirring occasionally, until the vegetables are slightly softened and excess moisture has evaporated.