But also ... think outside the box. http://www.weebly.com can provide a not-so simple site, including built-in blog and even domain registration, for nothing, or for very little. (These are not “Wordpress sites.” They are native, and you can even download the entire generated source-code and take it somewhere else.)
While it might be an entertaining exercise to build-from-scratch a site, using Perl or something-else, nearly every web-site is now “a thing already done.” If you simply “want it,” then you probably today do not need to “build it” in anything-at-all.
If you simply want to learn how to do a web-site in Perl, then the two frameworks already mentioned are excellent ones. (And I have seen several big, commercial sites that were done in “plain-jane CGI” using CGI::Application, and which ran extremely well.)