Brocho before eating this: Borei Minei Mezonos
However, if there are very few noodles, 2 Brochos are required:
Before eating the soup, say: Shehakol Niyeh Bedvoro
Before eating the noodles, say: Borei Minei Mezonos
Brocho after eating the proper shiur of this: Al Hamichya (provided that the a proper shiur of noodles are eaten. If not, say Borei Nefashos)
Source: The Laws of B'rachos (page 372)