I had boughta domain from godaddy a few weeks ago. Now, I am trying to create my website through them via wordpress and it won't let me use the domain I had bought a few weeks ago. It says "this domain is unavailable". Makes sense because I own it. So, how do I get it to recognize that I am the owner of the domain and would like to use it for my new site?
It sounds like you are searching for a new domain. You can click "Already own a domain?" to use an existing domain. Note that WordPress.com requires a premium plan to use a domain. Otherwise you could get a sub-domain (yourblog.wordpress.com) for free and forward the domain.