In a new window open Google Apps Control Panel page as admin
Your Google Apps Control Panel

Click the Advanced tools tab.
Click the Set up single sign-on (SSO) link next to Authentication.

There are 4 pieces of information you must set on this page.

And here it is...

First check the Enable Single Sign-on box

Now insert this url into the Sign-in page URL text field.
http://googlealpha.mroomsdev.com/login/index.php
$CFG->wwwroot."/auth/google/saml/www/saml2/idp/SSOService.php";

Insert this url into the Sign-out page URL text field.
http://googlealpha.mroomsdev.com/login/logout.php

Insert this url into the Change password URL text field.
http://googlealpha.mroomsdev.com/login/change_password.php

Both Moodle and Google must be able to securely authorize access to important resources.
The admin must generate  for Verification certificate
Upload an X.509 formatted certificate with an embedded public key. 
For information in key generation visit http://code.google.com/apis/apps/articles/sso-keygen.html  
The SAML Moodle SSO service only uses RSA keys.

ADDING THE MOODLE GADGET

http://googlealpha.mroomsdev.com/auth/google/moodlegadget.php