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Hook/Filter after comments post and send email Or Get notified via email when a user posts a comment on your site’s blog. If you want to send email when user post a comment on single post page then this tutorial is very help full for you.
function wpaccuracy_notify_my_mail( $comment_id, $comment_approved ) {
if ( ! $comment_approved ) {
$comment = get_comment( $comment_id );
$mail = 'admin@wpaccuracy.org';
$subject = sprintf( 'New Comment by: %s', $comment->comment_author );
$message = $comment->comment_content;
wp_mail( $mail, $subject, $message );
}
}
add_action( 'comment_post', 'wpaccuracy_notify_my_mail', 10, 2 );