Bring a large pot of salted water to a boil and cook the broccoli until tender enough to smash with a fork
Sauté the garlic and red pepper flakes in the olive oil on low heat in a large skillet
Pull the broccoli out of the boiling water and add the farfalle directly into the same water and cook until done
Mash the broccoli with a food masher or the bottom of a cup until it turns into a sauce-like texture with some rough chunks
Add the broccoli and a few tablespoons of pasta cooking water to the skillet with the garlic and red pepper flakes and mix
Add the cooked farfalle pasta to the broccoli mixture, then add the butter and pecorino romano cheese and mix well
Adjust sauce texture with more pasta water if needed
Serve hot topped with lemon juice, additional cheese, and black pepper
