All "normal" UK ISPs (I use a tiny boutique one that doesn't do this but anything advertising on TV is big enough to have agreed to participate) voluntarily filter DNS. Right now in theory they just try to filter out child pornography, "extreme" pornography, and whatever Hollywood told them was a copyright violation. In 2019, in the event they find time to do something other than bickering about their ludicrous "Brexit" the British government wants to upgrade this to let them filter out anything they want.
Their 2018 white paper about this supposes that DNS blocking will be effective against ordinary users, though it notes if you have Tor you aren't blocked. Coincidentally at the same time they were publishing that paper, there was an IETF in London discussing DPRIV which is a set of protocols like DNS over HTTPS designed to er... make such filtering impossible.