If you mean 'early', rather than 'soon', no, it's not true. Most shops close at 5.30 pm or 6 pm, but some stay open later at this time of year. Supermarkets and convenience stores are generally open until 8 pm or 10 pm. As for pubs and bars, they wouldn't do much business if they closed at 8 pm! They are open much later than that. It varies, but the earliest a pub will stop serving is 11pm. Others close at midnight or later. Bars close at around 2 am, and clubs at around 4am.

They close early but not quite that early, bars may commonly close around or even before midnight.