Honeywell RSS software works with the G2 panels. It can connect via PSTN, IP (if the panel has an IP module fitted) or by a plug in programming lead that connects directly to a header on the G2 PCB.
It will be a pain manually collecting the information every few months and the G2 only has a 384 event FIFO.
Providing that the triggers are enabled in the panel, an ARC or self monitoring with SIA or Microtech will have set/unset with username. If you can get one to provide a 1 month summary via e-mail for free, then it sounds like the best option.