Going in when you are, at the end of the "shoulder" season, you'll be hugely dependent on what the weather brings. I've camped on bare ground over Thanksgiving in the Sierra high country, but most years there's plenty of snow by then. Tioga Pass Road generally closes after the first large November storm (should that be where you're entering).
Temps will likely be down into the teens or even lower at night, so plan accordingly. If sunny, daytime temps could be quite pleasant, presuming no strong winds. As you know, the days will be short as well.
If we continue to "enjoy" our drought, you could be lucky and have clear trails to walk on, or it could be a snowshoe trip. My only caution is against going out in advance of a storm, unless you're quite experienced and well equipped.
I find the NWS forecast maps very helpful in trip planning.
I'd probably take my GoLite Hex, FF Swift bag, full-length pad, Xtreme stove, PT Eos or Tikka XP headlamp, and add a down jacket and mittens to my typical three-season clothing kit. Perhaps a balaclava as well.
Water treatment would depend on what my source(s) are.