Orecchiette Pasta with Chicken Sausage and Broccoli

package Italian chicken sausage, casing removed

uncooked pasta (or brown rice or quinoa pasta for gluten-free)

fresh broccoli florets, no stems (16 oz)

garlic, smashed and chopped

grated Pecorino Romano or Parmesan cheese

olive oil, divided

kosher salt and fresh cracked pepper