Previously only available to a select few verified accounts, Google is to expand the availability of Google+ custom URLs this week. Custom URLs give you an easy way to link friends and followers to your Google+ page, for example you'll find Android Central at google.com/+androidcentral.
There are a few (easy) hoops to jump through before claiming your URL — you'll need to have at least a 30-day-old account with a profile photo and at least 10 followers. If that's you, you should start seeing the link to claim your URL on your profile page sometime this week. (The rules are a bit different for businesses — local Google+ pages must be verified local businesses, non-local pages must be linked to a website.)
As with all Google features, it'll take a short time to roll out to everyone, so keep an eye on the "About" page under your profile over the next few days. Good luck claiming your name of choice!