The BoM is predicting snow above 1000m tomorrow morning, which means there's a good chance of seeing snow in parts of the Brindabellas you can drive to. Conveniently it happens to be Sunday tomorrow too so there's actually a chance for most people to be away from work.
I wouldn't recommend taking a 2wd up past the end of the tar on Brindabella Rd on a snow day (not that it can't be done, but I'm not going to tell strangers to do it) but if you only have access to a 2wd Corin Forest might get some natural snow in the morning.
Edit: Went up this morning and saw one actual snow flurry around 1700m, some sleet down to ~1500m and plain old rain below that. Bit of a misleading forecast IMO, I guess there is a chance of it getting better for snow later in the day (I have seen that happen before) but in terms of snow this morning wasn't worth heading out for.