In case I want to try to check plain English interpretations of the law against the actual law.
All extant UK statute law can be found on legislation.gov.uk, which is the official online repository for British legislation.
Most recent acts of Parliament and statutory instruments are accompanied by Explanatory Notes, which describe - in plain English - what the various parts of that piece of legislation mean.
The free source of legislation and case law in the United Kingdom is BAILII (British and Irish Legal Information Institute).
BAILII contains the text of judgements and legislation. However, as for plain English interpretations of the law... that's possibly at odds with your question, which asks for "actual UK law paragraphs".
If it's actual UK judgements or legislation, it is possible that it will not be in plain English.