If you are successful, you will be sent directly to the resource you are trying to access. If you are not successful, you will be returned to the login page.
The easiest way to check that you are still within Off-Campus Access is to look at the address bar, as it should always contain the word 'ezproxy' in the URL:
e.g., http://ezproxy.uws.edu.au/login?url=http://search.proquest.com/pqcentral/advanced?accountid=36155
This applies anywhere on the library site, and when connecting out to databases. If not, you are no longer connected via Off-Campus Access and may be asked for a login.