Google Realtime Search, was once a very useful tool to find the latest tweets from users from the Google search interface. Personally, it helped me confirm breaking news, downtime of some popular sites etc. But it went down after soon after Google’s deal with Twitter for access to the public tweets/updates ended.
This is an useful solution for someone looking for an alternative to find latest updates from social media sites. Unfortunately, twitter doesn’t let Google index people’s tweets. Hence you can’t use this method to find "almost" real-time updates posted by people on their twitter timeline.