I've been struggling for about five minutes to understand how this one translates to English, but finally in my head, I've sort of translated this to "Do you feel you're well", which helps me understand the double "you". How does that sit with everyone else?
In my native language, Russian, we literally say I feel myself well, How do you feel yourself? And it's really common mistake for us, speaking English. I think here it's the same, you can just feel something.