Memory footprint of anonymous objects in Hibernate

I am current working on a project which was built with struts and hibernate .

All DAO classes in the project has the following code

Inside constructor

hibernateSession = HibernateUtil.currentSession();
tx=hibernateSession.beginTransaction();

Inside finally clause of all methods

HibernateUtil.closeSession();

What this effectively means is that, in my business code , I have to initialize the reference variable or create an anonymous object every time I want to access data from the database. ie

If I have to access method1 and method2 of class A

A a= new A();

a.method1(); // access method 1 

a = new A();  
a.method2(); //access method 2

I now mostly use anonymous objects to get this done ie

new A().method1(); //access method 1
new B().method2(); //access method 2 

Now my questions are.

1. Are anonymous objects garbage collected just after usage ? In my project, since every access to methods in dao class is via anonymous object , will it adversely affect the memory footprint ? if yes any alternative way ?

2. Am I doing it correctly or is there a better way ?

3. Is this the best/correct way of implementation using hibernate ?

4. Is my usage of the term "anonymous object" for "new A();" correct ? While searching for the same in google , I noticed many comments saying this is not called anonymous object in java, but also came across some articles explaining this as anonymous objects.