Wash the broccoli and cut off the florets (ends).
Bring water (about 5 liters) to the boil in a large saucepan then add salt. Add broccoli and cook 8 minutes.
Add the pasta and cook over low heat for the time indicated on the packet until al dente.
Meanwhile, brown 4 tablespoons of olive oil in a pan with the pressed garlic. Cook for 2 to 3 minutes then turn off.
Drain the broccoli pasta and keep a little cooking water which you will pour into the pan with the oil and garlic.
Add the pasta and broccoli and cook for a minute, stirring to coat the pasta, adding a little olive oil if necessary.
Serve hot with grated cheese and freshly ground pepper.