What does form.pl look like? Have you written any of it yet?

For such a simple application you could use CGI.pm, and Mail::Sender. You will need to decide what SMTP server to send through. Your ISP may have one set up, or maybe you would like to use a gmail account. Sometimes mail sent directly from the super-huge hosting services is treated as spam by recipients, so it might be preferable to send through an SMTP service that doesn't have the godaddy domain. There is a good no-frills "just send the email" example here: Email::Sender::Simple

As for the CGI portion, the module I recommended has pretty good documentation. There's also the (old but useful) O'Reilly book, CGI Programming with Perl. The state of the art for web applications has left that book behind, but you're asking about CGI, which is equally antiquated, and contemporary with that book. You can get a copy used for a penny, plus shipping on Amazon.

See also: Go Daddy Support: What email or relay server should I use in my Perl code?.