Cut broccoli into florets. Peel the tough outer layer from the broccoli stem and cut broccoli into 1" pieces.
Combine sauce ingredients in a small bowl and set aside.
Heat the oil in a pan over medium high heat and add broccoli. Cook 2 minutes. Add 2 tablespoons water or broth to the pan and cook an additional 2 minutes or until water evaporates.
Stir in garlic and ginger and cook until fragrant, about 1 minute. Add sauce mixture and cook an additional 2 minutes more or until heated through. Sprinkle with sesame seeds and serve.
