I also followed these settings for gmail and it still didn't work where my host was smtp.gmail.com
    http://www.wpbeginner.com/plugins/how-to-receive-wordpress-emails-from-localhost/

http://www.wpbeginner.com/beginners-guide/how-to-create-a-contact-form-in-wordpress/

On the test email from the smpt plugin I see the error but I don't know what settings I need to use to make this work from a gmail account.

    The SMTP debugging output is shown below:

 Warning: stream_socket_enable_crypto(): SSL operation failed with code 1. OpenSSL Error messages:
error:14090086:SSL routines:SSL3_GET_SERVER_CERTIFICATE:certificate verify failed

                $phpmailer = apply_filters('wp_mail_smtp_custom_options', $phpmailer);
                $phpmailer->SMTPOptions = array(
                    'ssl' => array(
                    'verify_peer' => false,
                    'verify_peer_name' => false,
                    'allow_self_signed' => true
                    )
                    );