With your permission the site loads Google Analytics, which counts visits and shows which pages get read and how people arrived. It records the pages you look at, roughly where in the world you are, and what kind of device and browser you used.
Your IP address is used to work out that rough location and is then discarded: Google states that it drops IP addresses collected from UK and EU visitors before the data is logged, and that the location step happens on servers inside the EU. Nothing on this site asks for your name, and the analytics never learns it.
Every advertising signal is switched off and stays off. This site runs no advertising and builds no audiences, so the data is not used to target you anywhere else, and Google's cross-device advertising features are inactive on the property. If that ever changes it would be a new question to put to you, not a setting to alter quietly.
Google Ireland Limited processes this on our behalf under Google's data processing terms, which incorporate the standard contractual clauses and the UK addendum for any processing outside the UK. We ask Google to keep it for 14 months, after which it is deleted.