Add remaining oil to the pan. Sauté garlic and ginger for 30 seconds until fragrant.
Add shrimp to the pan and cook for 2-3 minutes until pink and cooked through.
Add the cornstarch slurry, and cook for another 1-2 minutes until the sauce thickens.
Heat 1 tablespoon of oil in a large pan over medium-high heat. Add broccoli and stir-fry for 3-4 minutes until bright green. Remove and set aside.
Return broccoli to the pan. Pour in soy sauce and honey, stirring to combine.
Serve hot with rice or noodles. Enjoy this quick and tasty meal!