at the end of your form you could just paste the code below and make the minor modifications like your email address and the redirect, if you need it.
<?php
$to = "your_email@server.com";
$redirect = "desired_page.html";
$extra = "From: $email\r\nReply-To: $email\r\n";
$mess = "Message from: ".$name.", IP: (".$REMOTE_ADDR.")\n\n".$message;
mail($to, $subject, $mess, $extra);
header("location: $redirect");
?>