Thomas
The backup battery is a half-AA 3.6-V lithium primary (not rechargeable) battery. It is used for many other purposes, and can therefore be readily and widely obtained. Camera shops, general electronics shops, and of course, eBay sellers spring readily to mind.
None of the Macintosh II series is difficult to work on. The battery is held in an open-top cage on the logic board, as usual. Gently pry the ends of the cage outwards, sequentially, to get the cage top to pop upwards. Take the usual care to ground the machine, to dissipate static from your body while you are working on the logic board, and to replace the battery with the correct polarity (marked on the cage bottom).
Some Macs will work
without a battery, some
despite a weak or dead battery, and
all with a functional battery. It is a trivial cost to replace one, and a false economy not to do so.