How does one go about doing this? My grandfather served in Europe and later in the Pacific. I'd love to see his records.
Check this out:
http://www.archives.gov/veterans/military-service-records/get-service-records.html
How to Request Military Service Records or Prove Military Service
Military personnel records can be used for proving military service, or as a valuable tool in genealogical research. Most veterans and their next-of-kin can obtain free copies of their DD Form 214 (Report of Separation) and other military and medical records several ways:
If your parent is still alive, or you are next of kin, you can ask for his records.