Yesterday, a sweeping new EU privacy regulation called the GDPR (General Data Privacy Regulation) came into effect, imposing a whole bunch of new data-privacy requirements on companies which do business with EU citizens.
Since almost all large cloud services are international, many have simply done a blanket update to their privacy policies and terms of service to comply with the law for all of their customers, regardless of nationality. That's why you've been receiving emails lately.
For the most part, not much will change with your day-to-day interactions with these websites, but if they didn't provide it before, you can probably now submit a request for all the data they have on you and submit a request to have your information completely deleted. There's a whole bunch of other rights, too - in fact, you can read the full text of the law here: https://gdpr-info.eu/