They recommend using JTA transaction support in Java EE environment.
But how to configure JTA in Tomcat6 so that Hibernate Session could use it ?
If you want JTA support in Tomcat you'll need to use a standalone transaction manager like Atomikos, JOTM, Bitronix, SimpleJTA, JBossTS or GeronimoTM/Jencks. But honestly, if you're not going to handle transactions across multiple resources, then you can live without JTA (and if you really need JTA, use a full blown application server).
If you just want to use SessionFactory.getCurrentSession()
you can just add the following two lines to your hibernate.cfg.xml:
<property name="transaction.factory_class">org.hibernate.transaction.JDBCTransactionFactory</property>
<property name="hibernate.current_session_context_class">thread</property>
This will give you a unique Session for each thread. As a servlet request is always handled within one thread (given that your code doesn't spawn new ones), the Session will live for the whole request.
Don't forget to use a filter to close the Session after the request!