In a covered frying pan with just a bit of water, steam the broccoli. Or you can steam them your favorite way. Would highly recommend to salt them
Once the broccoli is a bit before getting ready (I like it to have a bite), remove them from the frying pan and let them rest
Put the pasta water to boil with a bit of salt. Once it is ready, its time to put on the pasta and cook them to the recommended time minus one minute. Now depending on how comfortable you are with the next steps, it should not take you more than the time it takes the pasta to be cooked to prep everything
(optionally) I like to sear the broccoli with a bit of olive oil (think of it like a stir fry) - this will give them a nice char and elevate the flavor profile. Be careful not to burn them as at this point they burn very easily
Cut the meat inro smaller pieces, marinate it with salt and pepper and give them a quick sear
Throw in the chopped garlic and red pepper flakes.
in just 30 seconds, or when you feel the garlic aroma, throw back in the broccoli and heat everything up.
finish up with your favorite cream. Depending on the type of cream you use, if you see that the pasta sauce is too thick, add a bit of milk to compensate
once the pasta is ready, reserve a bit of pasta water and throw everything in the pan
toss the pasta, and add a bit of pasta water. Once you reach the consistency you want, its ready.