In a frypan fry sausage over medium heat until no longer pink then drain, slice and reserve.
In the same frypan cook garlic in olive oil until golden.
Meanwhile, bring a large saucepan of lightly salted water to a boil. Cook pasta in boiling water for 8 to 10 minutes or until done; drain. Three minutes before the end of the cooking time add broccoli; drain with pasta.
In a large serving bowl toss together the sausage, olive oil and garlic, pasta and broccoli then add the Parmesan. Season with chilli flakes.