Google Profiles have cryptic web addresses that include 21-digit IDs to make them impossible to guess, but Google is now making it quite a bit easier to find. The service now has an option to use vanity URLs for your profile page, means rather than having a page located at http://www.google.com/s2/profiles/3223lkn23lkn or likewise, it can now be: http://www.google.com/profiles/YOURGMAILNAME. To make it easier for people to find your profile, you can customize your URL with your Gmail or Picasa username. 

Source:→ Google OS