Not separate per se, but one stripped of all but the most basic OS services. Basically, it comes with the Phone app, and a time-limited browser app for installing other apps. It would be up to the user in the EU to install apps for each service they wish to use.I doubt they will make a serperate operating systems just for the EU since that would cost Apple more money and could delay critcal security updates if a zero day vulnerability is discovered in the wild.
In other markets, Apple would continue to bundle their built-in apps, along with the App Store.