Damn, plenty of suggestions so far. I'm probably looking to keep it pretty mellow for my first hike, I'm a bit out of shape being a desk jockey and all, plus I don't think I'm quite used to the altitude yet, but hopefully some hikes will help me with that.
Just across the street is Evergreen Mountain. The actual hike isn't all that, but great views of Mt. Evans from the summit.
Bergen Peak from Elk Meadows Open Space is another great hike local to the Evergreen area.
How long of a hike is Evergreen Mountain to the summit?