A variant using a regex:

use warnings;
use strict;

$/ = '';
while (<DATA>)
  {
  m|\G[\n\s]*(.*?)<br />[\n\s]*(.*?)(?:<br />[\n\s]*(.*?))?(?:<br />){
+2}[\n\s]*|isg;
  my $url = $3 || "";
  print "Name: $1\nAddr: $2\nURL: $url\n\n";
  }
[download]

__DATA__
Name<br />
Address<br />
URL<br /><br />

Name2<br />
Address2<br /><br />

Name: Name
Addr: Address
URL: URL

Name: Name2
Addr: Address2
URL:
[download]