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I use hibernate 3.0.5 now,
and want to upgrade to 3.1.3,
the migration guide http://hibernate.org/250.html said:
"Important known issue: If you call session.connection() in Hibernate 3.1.0, you are responsible to close() the JDBC Connection yourself! "

But I really donnt want to close the connection,
because it is needed for view.
And I tested it without close, nothing happen!!
Who can tell me the result of no close session.connection()?

That depends on how you do your connection pooling. The most likely result is that you'll lose connection resources, eventually running out of connections and losing the ability to talk to the DB. If you use user-provided connection pooling, you can avoid that issue, because it's your own code that closes the connections anyway.