The following isn't necessarily the "proper way",
but it's something that came to mind.
I find it useful when debugging Perl CGI stuff
for https:// servers to use `stunnel`. It's like
telnet but uses SSL protocol. Example:
$ stunnel -cr foo.com:443
GET /cgi-bin/store.pl HTTP/1.0
HTTP/1.1 302 Moved
Date: Wed, 21 Nov 2001 21:32:06 GMT
Server: Apache/1.3.22 (Unix) mod_ssl/2.8.5 OpenSSL/0.9.6b
There I used it like a telnet client.
You can also pipe stuff to it (actually,
you can pipe stuff to telnet, too).
I'm not sure offhand how to get LWP::Simple
to use stunnel, though.