Heat vegetable oil in a large skillet or wok over medium-high heat.
Add minced garlic and ginger, sauté for about 30 seconds until fragrant.
Add the shrimp to the skillet and cook for 2-3 minutes until they turn pink and opaque.
Stir in the bell pepper, snap peas, and broccoli, cooking for another 2-3 minutes until the vegetables are tender-crisp.
In a small bowl, mix soy sauce, honey, and sesame oil. Pour this mixture over the shrimp and vegetables.
Add the cornstarch slurry to the skillet, stirring well to combine. Cook for an additional minute until the sauce thickens.
Serve the stir-fry over cooked rice or quinoa.