How to use same session object across multiple dao methods in struts2+hibernate web-app?

Question

I have omitted many details from the code below just to keep it simple.
Is my implementation right?
Is there any downside of this implementation?
Is there a better way of implementing the same?

MyAction.java

class MyAction {
  public String execute() {
    Session session = sessionFactory.openSession();
    Transaction tx = session.beginTransaction();

    try {

      UserLoginDAO uldao = new UserLoginDAOImpl();
      uldao.firstMethod(session);
      List l = uldao.secondMethod(session);
      tx.commit();

    } catch(HibernateException ex) {
      if(tx != null) tx.rollback();
    } finally {
      session.close();
    }
    //statements
  }
}

UserLoginDAOImpl.java

class UserLoginDAOImpl implements UserLoginDAO{
  public void firstMethod(session) {
    //statements
    session.save(something);
  }

  public List secondMethod(session) {
    //statements
    List lst = session.createQuery("something").list(); 
    //statements
  }
}

UserLoginDAO.java

interface UserLoginDAO {
  public void firstMethod(session);
  public List secondMethod(session);
}

Answer 1

Is my implementation right?

This is off-topic here. BTW it seems fine.

Is there any downside of this implementation?

This implementation is called Open Session In View (OSIV) Pattern, often referred as Anti-Pattern.

There are pros and cons using it (also read this).

Is there a better way of implementing the same?

Better is subjective, hence saying which is better than which other would be primarily opinion based.

Leaving the "better" apart and answering just to "are there other ways to handle transactions": from JAVA EE 6, things are changed sensibly... if you are using it, then use Hibernate as JPA2 implementation (instead that as raw Hibernate) and take a look at EntityManager and container managed transaction in EJB3.1 (or CDI with Interceptor).