Absolutely use grease! But take my word with a grain of salt. I'm a bullseye shooter, and I literally need to use oils that smell pretty good because I practically bathe in gun oil. All my t-shirts have oil spots on the fronts from 1911 oil.
If you're not that enthusiastic about your lubricants, then here are some more conservative guidelines for using grease:
1) I only use grease in the lower end after a thorough cleaning
2) All other contact points get oiled, except
3) The section of barrel that comes into contact with the bushing and the locking lugs. I apply grease to the slide and to the barrel near the locking lugs to ensure good coverage.
I use Wilson's white grease or Shooters Choice red grease.
If you don't want to use grease, that's OK, but use a good high tech oil like FP10 and clean and lube frequently.