The gnustep-db supports a pluggable database backend mechanism. The OGo source distribution comes with database adaptors for PostgreSQL and FrontBase, Sybase and Oracle adaptors are part of the SKYRiX 5 distribution and not part of the OGo source tree.
OGo is open for the contribution of additional database backend adaptors, but having support for a perfectly suitable OpenSource database, PostgreSQL, we see no immediate need to extend OGo for MySQL or other database on our own.
Does it work with JDBC: no, OGo is not a Java application. Does it work with ODBC (eg unixODBC): no, not currently, though it might be viable to write a generic ODBC adaptor for OGo.