As much as they can yeah. I switch off ISP DNS as fast as possible but outside of that, yeah they have logs of where I go and what I do.
Same as carriers. Everyone is freaking out about Facebook privacy or some app spying on you, but your carrier logs all your calls and texts and location data and has quite a bit of pedigree data from your address, banking info and other financial details. They know far more than Apple or Google or Microsoft.