Good morning,
The GSS is a DNS server, so it makes no sense to talk about connections on it.
In the setup you described, if the primary ACE VIP fails, the GSS will stop returning that VIP in the DNS replies and use the secondary instead.
What will happen to the connections on the ACE will depend on what made the VIP go down (and then we would be getting into the ACE topic), if for example the server went down, then, I'm afraid all connections will break. If however, just connectivity between the ACE and the GSS was lost, then, the connections will continue to work normally.
Regards
Daniel