Don't use SSL on port 465, it's been deprecated since 1998 and is only used by Microsoft products that didn't get the memo; use TLS on port 587 instead: So, the code below should work very well for you.
mail->IsSMTP(); // telling the class to use SMTP
$mail->Host = "smtp.gmail.com"; // SMTP server
$mail->SMTPAuth = true; // enable SMTP authentication
$mail->SMTPSecure = "tls"; // sets the prefix to the servier
$mail->Host = "smtp.gmail.com"; // sets GMAIL as the SMTP server
$mail->Port = 587; // set the SMTP port for the