Do I trace an Active Directory group based database login the same way as an AD user based login on SQL Server?
Unfortunately, the group is not presented in the LoginName column => it is the individual user account (DOMAIN\user). 

You can get the groups for a given member by executing:

EXEC XP_LOGININFO 'domain\groupname','members'
EXEC XP_LOGININFO 'domain\groupname','all'


This may be able to be wired up using a user-defined event.