Cook noodles as directed on package to desired doneness. Drain; cover to keep warm.
Meanwhile, spray 12-inch skillet or wok with cooking spray. Heat over high heat until hot. Add shrimp; cook and stir 3 minutes. Remove shrimp from skillet; set aside. If necessary, drain skillet.
Add gingerroot and garlic to skillet; cook 30 seconds. Add broccoli, chile and 1/4 cup of the broth; cover and cook 1 to 3 minutes or until broccoli is crisp-tender.
In small bowl, mix remaining 3/4 cup broth, the fish sauce and cornstarch with wire whisk until smooth. Return shrimp to skillet; add cornstarch mixture. Cook and stir about 1 minute or until sauce is slightly thickened and shrimp are pink. Add noodles; toss until evenly coated and hot. Sprinkle with cilantro.