While pasta is cooking, saute garlic and onion in olive oil over medium heat. Do not brown. When garlic and onion are tender, add cream, ¼ teaspoon salt, and dash of pepper. Increase heat and bring to a boil, and boil for about 2 minutes, stirring frequently. Remove from heat. Drain broccoli, then add broccoli to cream mixture; adjust salt and pepper. Add pasta and toss. Finish with Parmesan cheese.