If that’s what the Hollywood Reporter wrote, they have misunderstood a few things. Yes, cinemas, teatres, concert halls, museums, zoos, aquariums, amusement parks, etc. (pretty much most cultural offers) will be closed. Restaurants, cafés, bars and the like will however remain open, though there will not be any servings after 10 pm and they have to close by 11 pm.
Another thing to note for potential travellers is that seat reservations and “corona passports” will be required on InterCity and InterCityLyn train. Corona passports will be required on long distance buses.
The Epidemic Committee have now approved all of the government's proposals, and the new restrictions go into effect Sunday morning at 8 am.
This page on the official website coronasmitte.dk give a full overview of the new restrictions. It doesn't seem like they've gotten around to translate it to English yet, so google translate is your friend.