Im really inexperienced with wordpress but i googled a few sec on google and maybe this will help.
function is_user_logged_in() {
$user = wp_get_current_user();
//Try to detect if the user is in a group here
return $user->exists();
}
Maybe you can try to do something with the page if the user is detected as user and in what group it is.
Source: https://developer.wordpress.org/reference/functions/is_user_logged_in/