We use LDAPS, but not client certificate authetication in the Gluu Server. You can import the SSL certificate in the truststore, or use "Trust-All" (not recommended, but not uncommon). Normally the LDAP server we are synchronizing is on the same network, or at least not traversing the Internet.
We could support mutual client cert authentication in LDAP (the underlying UnboundID SDK supports it) but the demand hasn't been there. Its up to the customer to provide the DN of an entry with the appropriate permissions, and it would be wise to limit that user to read access.