gluten free dinner recipe

8 ounces gluten-free pasta (such as rice or corn pasta) - 1 pound large shrimp, peeled and deveined - 2 tablespoons olive oil - 3 cloves garlic, minced - 1/4 teaspoon red pepper flakes (optional, for a bit of heat) - Zest and juice of 1 lemon - 1/4 cup chicken or vegetable broth - 1/4 cup grated Parmesan cheese (or a dairy-free alternative) - Salt and pepper to taste - Fresh parsley, chopped (for garnish)