The quickstart version is a Joomla installation with the difference that at the end of the procedure as sample data you will install the JA template.
So now you need to remove your old joomla installation and start on a new and clean environment ( completely empty folder )
extract the quickstart package file locally then upload all files on your server folder and point your browser to your site ( http://www.yoursite.xxx )
so the installation procedure can start.
remember that you need the database info ( better if you start with a new database dedicated to this template )
anyway all these things are well explained in the guide i posted above