Here at Beyond Greenspace, we just run a basic blog run on the WordPress platform. We do not collect or process personal data ourselves, aside from allowing public comments left by individuals on our blog posts. Anyone that has signed up to receive blog update notifications will have already given consent to do so as part of the WordPress subscription process.
Subscribers to the blog can unsubscribe at any time using the unsubscribe links included in every subscription email automatically generated by WordPress when we update the blog.
There is more information about Automattic and the GDPR here: https://automattic.com/automattic-and-the-general-data-protection-regulation-gdpr/