Are we talking husband/wife? Committed life partner type thing or just dating?
I'm not sure I'd tell someone I was just dating exactly what I did. Probably give them the "web design" story I give most people. Unless they would make good content.
I think it's different if you're married or seriously committed. My fiance doesn't know everything about my business. He certainly couldn't sit down and do it for me. But he knows enough about what comes from where and why to take care of things if something happened to me. More than that, he knows who to contact to find out what to do with all my sites and traffic. Probably more important than knowing exactly what it is that I do day to day.