In a large pot cook the spaghetti noodles according to package directions.
In the last 5 minutes of cooking the noodles, add the broccoli and cook until tender.
Drain the noodles and broccoli. Set aside.
While the pasta is cooking, add olive oil to a wok.
Cook the steak until no longer pink.
Add the garlic, and carrots and cook for two minutes.
In a small bowl mix the brown sugar, soy sauce, hoisin sauce, sesame oil, ginger, red pepper flakes and black pepper.
Add the spaghetti to the wok and pour the sauce on top and mix.
Serve hot.