Retrieving HTTP URLs using Perl scripting

I'm trying to save the whole web page on my system as a .html file and then parse that file, to find some tags and use them.

I'm able to save/parse http://<url>, but not able to save/parse https://<url>. I'm using Perl.

I'm using the following code to save HTTP and it works fine but doesn't work for HTTPS:

use strict; 
use warnings; 
use LWP::Simple qw($ua get);
use LWP::UserAgent;
use LWP::Protocol::https;
use HTTP::Cookies;

sub main
{
  my $ua = LWP::UserAgent->new();

  my $cookies = HTTP::Cookies->new(
    file => "cookies.txt",
    autosave => 1,
    );
 
  $ua->cookie_jar($cookies);
 
  $ua->agent("Google Chrome/30");
 

#$ua->ssl_opts( SSL_ca_file => 'cert.pfx' );

  $ua->proxy('http','http://proxy.com');
  my $response = $ua->get('http://google.com');

#$ua->credentials($response, "", "usrname", "password");
 
  unless($response->is_success) {
    print "Error: " . $response->status_line;
    }
 
         
    # Let's save the output.
  my $save = "save.html";
 
  unless(open SAVE, '>' . $save) {
    die "nCannot create save file '$save'n";
  }
 
    # Without this line, we may get a
    # 'wide characters in print' warning.
  binmode(SAVE, ":utf8");
 
  print SAVE $response->decoded_content;
 
  close SAVE;
 
  print "Saved ",
      length($response->decoded_content),
      " bytes of data to '$save'.";
}

main();

Is it possible to parse an HTTPS page?