I can't say about Pub 2013 as I don't have it or know what it contains. Microsoft has discontinued FrontPage and I'm not sure what they have, if anything, for creating a web site.
I just checked the web site pages that I maintain in FrontPage 2003, which from what I can tell works about the same as Pub 2003. When I preview the web page it only shows that page, none of the links work. It looks like the web pages would have to be "published" to a web site (all the pages) so the links would work.