Bring a large pan of water to the boil and cook the pasta according to pack instructions. About 3 mins before the pasta is cooked, throw in the broccoli. When everything is done, drain, reserving about 100ml of the cooking water.
While the pasta is cooking, grill the bacon for 6-7 mins until crisp, then cut into bite-size pieces. Tip everything into the pasta pan, toss together well and loosen with a little of the cooking water, if needed. Sprinkle over the Parmesan and serve.