In a small bowl, whisk together soy sauce, rice vinegar, brown sugar, sesame oil, Sriracha, cornstarch, garlic, ginger, and lime juice.
Pat shrimp dry and season with salt and pepper.
Heat 1 tablespoon olive oil in a large skillet over high heat. Add broccoli and scallions (reserve some for garnish) and cook for 2–3 minutes until slightly charred.
Reduce heat to medium-high, add remaining oil and shrimp. Cook for 3–4 minutes until shrimp turn pink.
Pour in the sauce and toss everything together. Cook for 2 minutes until the sauce thickens.
Remove from heat, garnish with scallions, and serve Shrimp & Broccoli Stir Fry over brown rice.