Cook the pasta according to the instructions on the package, reserving 1/4 cup of cooking water before draining.
1/2 pound pasta shells
While the water is coming to a boil, prepare the rest of the ingredients. Cut the broccoli, mince the garlic, and shred the cheese.
In a large skillet, heat the olive oil over high heat. Add garlic and red pepper flakes. Sauté for 30 seconds until the garlic is fragrant, being careful not to burn it.
2 cloves minced garlic, 1/2 teaspoon red pepper flakes, 2 tablespoons olive oil
Add the broccoli, the reserved pasta water, and a teaspoon of salt. Cook until the broccoli is tender, about 4 minutes.
1 pound broccoli, 1 teaspoon kosher salt
Toss with the cooked pasta. Top with freshly grated parmesan cheese.
1/2 cup freshly grated parmesan cheese