The Fams Minestrone

Name: The Fam's Minestrone
Ingredients: 1 tablespoon olive oil; 3 cloves garlic, minced; 2 large carrots, peeled and sliced; 1 large zucchini, sliced; 32 ounces vegetable broth; 1 can diced tomatoes, not drained; Salt and pepper, to taste; 1 15 ounce can garbanzo beans, drained; 3/4 cup elbow macaroni; 3/4 cup snap peas, halved; 2 cups cooked chicken, diced; parmesan cheese, shredded, for topping