Prep the shrimp: Pat shrimp dry with paper towels. Season lightly with salt and pepper.
Cook the shrimp: Heat 1 tablespoon olive oil in a large skillet or wok over medium-high heat. Add shrimp in a single layer. Cook 2–3 minutes per side until pink and opaque. Remove and set aside.
Sauté the vegetables: In the same pan, add 1 tablespoon olive oil. Add garlic and ginger, cooking for 30 seconds until fragrant. Add broccoli and bell peppers. Stir-fry for 4–5 minutes until bright and tender-crisp.
Combine shrimp and sauce: Return shrimp to the pan. Add soy sauce, oyster sauce (if using), sesame oil, and red pepper flakes. Stir for 1–2 minutes until everything is heated and coated.
Serve: Spoon over cooked rice, quinoa, or cauliflower rice. Garnish with sesame seeds and a squeeze of lime if desired. Serve immediately.