Are you sure this does what you mean? I've added a couple of lines to print $heart and $me:

#!/usr/bin/perl -w
#myHeart, A Poem by TheEliteNoob

$i = "u";
$u = "i";
$love = "u+i";
my $heart = "$u make my heart flutters...";

# Added
print "$heart\n"; 

if($i ne "Not with $u"){
    $heart = "Just Breaks";
}
$me = "just thinks of $u";

# Added
print "$me\n";
while($me eq $u){
    $sad = "when not with $u";
    $happy = "with $u my love";
    last; #forever
}
while($me && $u eq $love){
    $me = "$happy and not $sad";
    last; #forever
}
$myLove = "$u love $i";
print "\n$myLove\n";
[download]

Displays:

i make my heart flutters...
just thinks of i

i love u
[download]