Bing, the Microsoft’s search engine to fight with Google, was bringing twitter search to you since October 21, 2009 to provide real-time search Twitter status update. It’s still in beta version.
To try out Bing’s beta version of Twitter search you have to go to Bing.com/twitter. At the top of the page is a tag cloud with the top keywords on Twitter, and below that are sample tweets from those hot topics as well as links to see further results.

While Bing had unveiled its real-time search since Oct 21, 2009, Google just lunched its real-time search this month on December 7, 2009.
On Google search engine, you have to expand the ‘Show options’ under the search field to see the real-time search.
Today I tried both Bing and Google real-time search and below are the screenshot. It’s very very wonderful and really really real-time and the search real-time search war has begun :)