You can download and install the custom plugin from here: https://www.cozmoslabs.com/?attachment_id=25696
Feel free to modify it to better suit your needs.
add_filter('wppb_edit_profile_all_changes_saved', 'wppb_email_after_edit');
add_filter('wppb_edit_profile_all_changes_saved_except_existing_email', 'wppb_email_after_edit');
add_filter('wppb_edit_profile_all_changes_saved_except_invalid_email', 'wppb_email_after_edit');
add_filter('wppb_edit_profile_all_changes_saved_except_mismatch_password', 'wppb_email_after_edit');
add_filter('wppb_edit_profile_all_changes_saved_except_uncompleted_password', 'wppb_email_after_edit');
function wppb_email_after_edit($content){
// for more information about wp_get_current_user please see https://codex.www.ads-software.com/Function_Reference/wp_get_current_user
// this is useful in case you want something more then just the user_login and ID
$user = wp_get_current_user();
$url = admin_url("/user-edit.php?user_id=$user->ID");
$to = get_option( 'admin_email' );
$subject = "User: $user->user_login succesfully edited his account.";
$message = "User: $user->user_login succesfully edited his account. View his account at <a href='$url'>here.</a>";
$headers = "Content-type: text/html";
#var_dump($to);
#var_dump($subject);
#var_dump($message);
wp_mail($to, $subject, $message, $headers);
return $content;
}