The main way to get information about the LGC is to be on the LGC's main mailing list, lgc-reps. To get on, contact lgc-acl@mit.edu and ask to be added. It's archived — the archive is available to list members.
Rush is sometimes discussed on lgc-rush instead of lgc-reps — if you're involved in that part of your house's operations, you may want to get on that as well.
The Speaker can be reached at lgc-speaker, and the LGC officers and member house presidents can be reached at lgc-exec.