October to November can get in the high 20s celsius range. You may find a light jumper at night during October. November is getting almost in summer, so can possibly get hotter during the day and cooler (early 20s) at night.
Check out Taronga Zoo, the buses and trains are ok, there’s always Uber. Bondi is a hit, but always crowded. Aussie cuisine is interpretive. Maybe find a quirky burger place somewhere, they’re everywhere.
Your accommodation is already taken care of with Topdeck.