From what you are saying, you wish to re-direct people who type in your old url to be forwarded to your new domain that you purchased from godaddy.
If so, I assume you also have hosting and have a site set up on the godaddy domain.
If so, all you have to do on the old site, is to put the main index.html page that says somethng like: " Our new site is www.godaddynewsite.com" and either make the site clickable and when the link is clicked, it will go to the new site. Or enable automatic redirection from the old site to the new one. Click here for exapmples
Alternatively,If you want people to type in your new domain name but wish them to see the pages on the old hosting site, have a look here from Godaddys Help section that explains how to do this