Bring a large pot of salted water to a boil.
Cook the farfalle pasta according to package directions.
Drain the pasta and return it to the hot pot. Add 2 tablespoons of butter and 2 tablespoons of olive oil to the pasta, stir to melt. Keep the pasta covered until ready to serve.
Cook the broccoli (if using) while the pasta is boiling.
To serve, divide the pasta evenly among four large bowls.
Top each bowl of pasta with a tablespoon of olive oil and half a ball of burrata cheese. Break up the burrata over the pasta with your hands.
Sprinkle each bowl of pasta with the fresh cracked black pepper and red pepper flakes (optional), some chopped basil, a squeeze of lemon juice and Parmesan cheese.
Add some broccoli florets (if using) and serve.