In a large skillet, heat the olive oil over medium heat. Add garlic and red pepper flakes, stirring 30 seconds. Add broccoli with water still clinging to the florets. Sprinkle with salt, cover and cook (about 4-5 minutes, until broccoli is just tender when pierced).
Transfer to a bowl. Chop the broccoli coarsely using a fork and small paring knife. Bring a large pot of water to the boil. Add the pasta and cook according to package directions. Reserve 1/2 cup of the cooking water, then drain the pasta.
Put back into the hot pan. Add the broccoli, blue cheese, grated cheese, basil, pepper and enough reserved cooking water to make a moist, creamy sauce. Serve immediately.
Servings: