Bring large pot of water to boil on medium heat. Add broccolini; cook 2 minutes or until bright green. Rinse broccolini under cold water; drain well. Set aside. Mix stock, soy sauce, cornstarch and ginger in small bowl until well blended. Set aside.
Heat oil in wok or large skillet on medium heat. Add garlic; stir fry 1 minute or until fragrant. Add shrimp; stir fry 2 minutes or just until shrimp turn pink.
Stir stock mixture. Add to wok; stirring constantly, bring to boil on medium heat and boil 2 minutes or until thickened. Add broccolini and sesame seed; stir fry until heated through. Serve with cooked rice, if desired.