Done (but I think that isn't exactly a "really simple solution")!
I have to add this repository: http://cpan.uwinnipeg.ca/PPMPackages/10xx/

Then I have to install:
Net-SMTP-SSL
Net-SMTP-TSL
Net-SSLeay
IO-Socket-SSL


This code works:

use strict;
use warnings;

use FindBin;
use Net::SMTP::TLS;  
use MIME::Lite;

use lib ("$FindBin::Bin/CPAN");

my $msg = MIME::Lite->new(
        From    => 'me@gmail.com',
        To      => 'you@gmail.com',
        
        Subject => 'A message with 2 parts...',
        Type    => 'multipart/mixed',
);
    
#$msg->attach(
#    Type     => 'TEXT',
#    Data     => "Here's the GIF file you wanted",
#);

#    $msg->attach(
#        Type     => 'plain/txt',
#        Path     => 'Log/output.log',
#        Filename => 'output.log',
#    );


my $mailer = new Net::SMTP::TLS(  
    'smtp.gmail.com',  
    Hello   =>      'smtp.gmail.com',  
    Port    =>      587,  
    User    =>      'me@gmail.com',  
    Password=>      'my-pwd');  
$mailer->mail('me@gmail.com');  
$mailer->to('you@gmail.com');  
$mailer->data;  
$mailer->datasend($msg->as_string);  
$mailer->dataend;  
$mailer->quit;
[download]

With this other code, until now, I have an authorization error (I don't know why):
---------------------------
UPDATE: Also the second code below works fine, but you need to install an extra package: Authen-SASL
So for the code above (TLS way), you need these packages:
Net-SMTP-SSL
Net-SSLeay
IO-Socket-SSL

For the code below (SSL way), you need these packages:
Net-SMTP-SSL
Net-SSLeay
IO-Socket-SSL
Authen-SASL

But any suggestion, in order to have a better code, is still welcome!

---------------------------

use Net::SMTP::SSL;

sub send_mail {
my $to = $_[0];
my $subject = $_[1];
my $body = $_[2];

my $from = 'me@gmail.com';
my $password = 'my_pwd';

my $smtp;

if (not $smtp = Net::SMTP::SSL->new('smtp.gmail.com',
                            Port => 465,
                            Debug => 1)) {
   die "Could not connect to server\n";
}

$smtp->auth($from, $password)
   || die "Authentication failed!\n";

$smtp->mail($from . "\n");
my @recepients = split(/,/, $to);
foreach my $recp (@recepients) {
    $smtp->to($recp . "\n");
}
$smtp->data();
$smtp->datasend("From: " . $from . "\n");
$smtp->datasend("To: " . $to . "\n");
$smtp->datasend("Subject: " . $subject . "\n");
$smtp->datasend("\n");
$smtp->datasend($body . "\n");
$smtp->dataend();
$smtp->quit;
}

# Send away!
&send_mail('you@gmail.com', 'Server just blew up', 'Some more detail')
+;
[download]

Any suggestion is welcome!

---

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