So my understanding was that while we were in the EU, the UK could levy VAT from shipments from the EU... but they never did because they were part of the same trade zone.
The no-tariffs mentioned in the trade deal, apparently have nothing to do with VAT.
I've seen in the news people in the Netherlands and France have had to pay VAT for things bought in the UK. I think this may be the EU deciding to enforce something that they could have always done.
I ordered a book last week from Germany, it arrived with no VAT. Thought it wasn't very expensive.
I had a kickstarter hold up in Poland/Netherlands over new year, and didn't have any VAT.
I've not yet ordered a sizeable package from Cundco, or elsewhere to discover if the UK decides to charge VAT in EU imports. So most of this is speculation.