Unlock the Hidden GDPR Secrets Every Author Must Know Now!
You ask for their website (if they have one) so that people can click on their names and go learn more about them.
You might also have a cookie that can fill in their info next time they want to comment.
This is all pretty innocuous stuff, but it is personal information, and therefore GDPR applies.
So you need to get permission to collect and process this personal information.
A new version of WordPress (version 4.9.6) was released last Thursday, May 17. It had a number of new features that make GDPR-compliance easier. There’s a very nice and detailed review of the new features on MaAnna Stephenson’s blog here. This may be the best summary of GDPR I’ve seen yet.

