I discovered this while performing my usual searching business on google.com, when suddenly a message popped up:
And indeed, the URL www.google.bt takes you to a legal Google site (the domain was purchased by Google in May 2012). Searching via google.bt will (likely) give more localized results. For example, searching for "Ministry of Education" brings www.education.gov.bt as the first result.
Quick update: it looks like Google's move to google.bt is still in progress. For instance, books.google.bt is still not functional. Let's see how fast the update takes!