Well, I added some code, and it worked, but need to make sure it's not blind link.

                    
my $requester = HTTP::Request->new(GET => $newgooleredirect);    #####
+ the link that takes me where I want to go, but via Google's redirect
+ system
my $lwper     = LWP::UserAgent->new(agent=>' Mozilla/5.0 (Windows NT 6
+.1; WOW64; rv:24.0) Gecko/20100101 Firefox/24.0',  cookie_jar=>{}, ti
+meout => 10);
my $resp = $lwper->request($requester);                
                   
print $resp->base;     ##### there this is from HTTP::Response
[download]

The return was the correct link, www.amazon.com