Might I ask, in a nutshell.. why not CGI?
However, in recent years PSGI has started to become the standand in the community. As far as I know, it is modeled after Python's WSGI. All of the "major" perl web frameworks support it, the three big ones I can think of are Mojolicious[1], Dancer[2], and Catalyst[3].
1: https://metacpan.org/pod/Mojolicious
It's really nice, though. Try out Mojolicious::Lite asap!