Google+ doesn’t have the option (yet), like Facebook, to shorten and customize the URL of your profile.
A way to create one is through a third party site Gplus.to. Simply add your desired name and your Google+ ID and voila! Don’t forget to add me http://gplus.to/ElwinLee 😀
Gplus.to

Source: http://itpromate.com/2011/07/how-to-shorten-your-google-profile-url/