Cook the broccoli by bringing a large pot of well-salted water to boil over high heat.
Add the broccoli and cook for 3-4 minutes, until bright green and tender. Use a slotted spoon to transfer the cooked broccoli to a bowl; keeping the pot of water boiling over high heat.
Cook the pasta using the same boiling water you cooked the broccoli, add the pasta and cook until al dente, per the package instructions; drain reserving ½ cup of cooking water.
Saute the broccoli by heating the olive oil in a large skillet over medium-high heat; add the cooked broccoli, garlic, red pepper flakes, sea salt, and freshly cracked pepper, to taste, and cook, stirring constantly, for 1 minute.
Add ¼ cup of the reserved cooking water to the large skillet and cook, stirring often, for 10 minutes until you can easily mash the broccoli with a spoon.
Finish the dish by adding the drained pasta and parmesan cheese to the skillet with the broccoli; stir everything together and add more pasta water if needed.
Taste for seasoning and adjust with sea salt and freshly cracked pepper as needed. Drizzle with a bit of olive oil, if desired.
Serve immediately with additional parmesan cheese. Enjoy.