Combine meat & garlic in lge. non-stick skillet; cook over high heat till meat is no longer pink, breaking meat apart. Drain. Place meat in large bowl; set aside.
Add broth. onion, pasta, oregano, basil, and tyme to skillet. Bring to boil. Reduce heat to medium-high and boil 10 minutes; add tomatoes with juice. Increase heat to high and bring to a boil; stir in broccoli. Cook, uncovered, 6 - 8 minutes, stirring occasionaly, until broccoli is crisp-tender and pasta is tender. Drain excess liquid. Add pasta mixture to beef, and mix well.
Spoon mixture into well greased 9 inch baking dish. Bake uncovered, at 350 degrees for 20 minutes or until bubbly hot.