Heat oil in large wok over medium high heat. Saute green onions and ginger for about 30 seconds, until fragrant. Add shrimp and cook a couple minutes on each side, until cooked through. Add broccoli and mushrooms. Cook 2 minutes, stirring or tossing frequently. Add broth, soy sauce, and vinegar. Bring to a boil and cook for about 5 minutes, until liquid has reduced slightly and veggies are tender. Add the noodles and toss to combine. Sprinkle with sesame seeds before serving.