Explaining the following statement in Java

I would like you guys to help me out with the following things in this program. I am a beginner in java so would appreciate any help on this:

What does this means?

   private static Singleton singleton = new Singleton

Are we creating a variable with type as class. I have seen many places this practice. Can you tell me why we create variables/objects with Class name?

This "Singleton singleton " is this a variable declaration or object declaration.

2)Singleton tmp = Singleton.getInstance()

Can someone help what are we doing here? We have created another object "tmp" right? What's the statement at right side doing?

public class Singleton {

   private static Singleton singleton = new Singleton();

   /* A private Constructor prevents any other 
    * class from instantiating.
    */
   private Singleton() {}

   /* Static 'instance' method */
   public static Singleton getInstance() {
      return singleton;
   }

   /* Other methods protected by singleton-ness */
   protected static void demoMethod() {
      System.out.println("demoMethod for singleton"); 
   }
}

File: SingletonDemo.java

public class SingletonDemo {
  public static void main(String[] args) {
     Singleton tmp = Singleton.getInstance( );
  tmp.demoMethod( );
}