Hi Emma,
I can’t speak to your specific case, but out-of-the-box it shouldn’t be, and in fact, Google Analytics doesn’t allow it and bans users that do.
However, there are some cases where third-party themes or plugins include some PII, such as in the URL after a user fills out the information and this is included in the URL that is tracked in Google Analytics.
Disclaimer: We aren’t lawyers and the EU GDPR is complex, but we can say that with the default theme, and only GADWP installed and the correct settings in the above doc it wouldn’t collecting PII to the best of our knowledge.