Add half of the vegetable oil to a wok or large skillet and heat it over high-heat.
Remove shrimp from marinade; discard marinade.
In batches, cook the shrimp for about 1 minute per side, or until they turn pink.
Remove from skillet and set aside on a plate.
Add remaining oil to the skillet and heat it up.
Stir in broccoli florets and cook for 3 minutes.
Stir in green onions and continue to cook for 2 more minutes.
Stir in garlic; cook for 10 seconds.
Stir previously prepared General Tso's sauce and add it to the skillet; cook for a minute or two, or until thickened.
Add shrimp back to the skillet and stir around to coat in the sauce; cook for a minute or until heated through.
Remove skillet from heat.
Arrange shrimp and broccoli over cooked rice.
Garnish with red pepper flakes and sesame seeds.