Well, considering that this is a city which elected the owner of a brewery to be its mayor (John Hickenlooper of the Wynkoop brewpub in LoDo, not anybody named Coors) and that Colorado's microbreweries have won more awards for their beers than any other state's, you might want to try some of the products made by some of the locals.
There are several places worth visiting in Denver, but the one I'd especially suggest to someone on a short visit is the Falling Rock Tap House, 1919 Blake Street, near Coors Field in LoDo. The food is basic pub grub, but it regularly makes lists of best places in the U.S. and even in the world to drink beer, both within the beer-lover's press and those compiled by mainstream media such as USA Today.
Falling Rock's website is at:
www.fallingrocktaphouse.com
Try the beers from such local breweries as Avery and Great Divide (among others) either at Falling Rock or wherever you go.
I'd also agree, if you only have a day or so, that you should spend it downtown or in the LoDo area, getting around either on foot or using the free 16th Street shuttle bus service.
There are numerous places to stay in the area for prices ranging from moderate to stratospheric. One useful tip I was given some years ago by a travel agent friend is that there's a Comfort Inn on 17th Street across from the legendary Brown Palace Hotel, one of the most luxurious lodgings in the U.S. This Comfort Inn is also owned by the Brown Palace's owners, it's connected to the Brown Palace by a skybridge, and although the Comfort Inn's rooms themselves obviously aren't as nice, guests there have access to all of the Brown Palace's facilities while paying less than half what a room at the Brown Palace costs.