Cook noodles according to package directions; drain and set aside.
Heat 1 Tablespoon sesame oil in a large skillet over medium-high heat. Add shrimp and cook for 2-3 minutes on each side; remove from skillet and set aside on a plate.
Add remaining Tablespoon of sesame oil to the skillet, then add bell pepper, carrot, onion and broccoli. Cook for 4-5 minutes or until vegetables are tender. Add garlic and cook for an additional minute.
In a small bowl, whisk together all sauce ingredients then pour into the skillet. Add shrimp and cooked noodles and cook, stirring continuously, for a few minutes or until sauce has thickened.