Combine all marinade ingredients in a medium zip-top bag. Add sliced meat, and mix well (I just close the bag and squish it around until all the meat is coated). Place in fridge to marinate for 30 minutes or longer.
Meanwhile, slice broccoli diagonally into small pieces. Heat 1 tablespoon of oil in a wok or large skillet. Stir fry broccoli in oil. Sprinkle lightly with sugar while cooking. Broccoli will be done in about 1-2 minutes (it is done when it turns bright green). Remove broccoli from heat.
Stir fry meat in same pan until cooked through.
Combine all gravy ingredients, and add to meat. Cook until slightly thickened.