If the majority is rice
Brocho before eating this: Borei Minei Mezonos
Brocho after eating the proper shiur of this: Borei Nefashos
If the majority is soup
Brocho before eating this: Shehakol Niyeh Bedvoro
Brocho after eating the proper shiur of this: Borei Nefashos
Source: The Laws of B'rachos (page 381)