I recently registered a business with Google Places, which automatically generated a Google + page, too. I've done my best to complete all the relevant information in both places, but I have to say I didn't find the process particularly intuitive. Still, it's done, and the business does show up on Google Maps. However, there is no description with the entry, although I included one when I set up the Google places listing. There is one other business which appears on the map for the same search terms, and there is a description listed for that.
So, how do I get my business description to show up? Or is it one of those things which depends entirely upon the whims of Google?