Cut broccoli into small pieces and place on sheet pan. Drizzle olive oil over broccoli then sprinkle with salt and pepper.
Mix together cheese, breadcrumbs and garlic in a small bowl then sprinkle over broccoli. Gently toss all ingredients together. Spread broccoli out on pan making sure pieces do not overlap.
Roast in oven for 18-20 minutes until broccoli tips and breadcrumbs are golden brown. Remove from oven. Drizzle with more olive oil and season to taste with additional salt and pepper. Serve immediately.