This is a normal feature of the "Great Firewall". Any such terms found in the traffic will cause a connection reset. Try http://www.ebeijing.gov.cn/ and type "Falun Gong" into the search box.
No, in fact it returned a page full of results when I searched for "tienanmen square"
Tienanmen Square is a real place, you know. It's a popular tourist spot. So it's not in their best interests to block that search.