We have been to the Grand Canyon twice some years back and really enjoyed it! It was SO hot when we went, but I don't know how it is right now. We always stop in Lake Havasu for the night when going down there. You can get a room by the lake and rent paddle boats if you want. It is a fun and relaxing time. Depends on what you are in to!
I live in Los Angeles, so I get a bit blinded to the local stuff. A lot of people like to go up and hike around the Hollywood sign area. there is a trail going up where people take pictures. It is a pretty decent hike. Another great place is the Griffith Observatory in Griffith Park. You can see all of LA from up there. You see this view in a lot of movies.
I am giving advice based on having a family, so it might not be as exciting for a group of single girls. haha! Depends on what you like to do.