You indicate that you have ObjectDock, not Object Desktop. Is this correct?
If so, and you have ObjectDock Plus (the purchased version), then the 1.3 version is the current version. I believe you would have received 1.2 on the June 2006 date, so this would mean (if Stardock is still using the same system) that you are entitled to updates through version 2.2 (if they get that far).
If you are using the free version, then simply download and install the newer versions as they become available.
Note - you can go here:
https://www.stardock.com/support/
Fill in the e-mail address and you will be sent links to the most recent official released version of your purchased software (that you are entitled to). Note - this excludes Stardock Central, which will offer updates when you launch if available.
If you were referring to Object Desktop, then the June 2006 purchase will be active until June 2007, and you can update programs during that period via Stardock Central, including the new Object Desktop launcher.