Combine the remaining soy sauce with cornstarch, then ass garlic, ginger, sugar ans sesame oil to make the sauce.
Drain steak and shake dry.
Pour 1/3 cup of water into the wok and turn the heat to high. Add the broccoli and steam until the water is gone or until the broccoli is cook to your preference. Drain and set on a kitchen towel to dry.
Add vegetable oil and swirl around the pan. Wait until it is smoking, then add steak. Do not remove steak for 1 minute.
Toss steak around the pan for 1 additional minute then remove the steak from the wok.
Pour sauce into the wok and bring to a boil. Return streak and toss with the sauce until thickened.
Return broccoli to the wok and quickly coat it in sauce. Serve immediately wit thin sliced green onions and sesame seed over rice!