Helping spouse adjust when relocating for an academic position?
The answer depends on the academic ambition of your spouse. If she/he has none, your question is borderline off-topic on this site. In this case, you can look into things similar to the Harvard Spouse &amp; Partners Association, which I personally would only join with a gun to my head, but might be something your spouse is into.

The rest of my answer assume she/he wishes to stay in the academic loop.

From what I saw in several universities in Europe and the US, several universities try to take into account dual career ambitions. Especially if your spouse is a woman, chances are the institution that hired you will consider creating some sort of academic position for her. Look for things like 'gender-equality office' to have more information on the topic. 

If there is no such thing, I know that some people attend classes and seminars in the local universities (this is true in universities unlike Harvard, were guest attendance is allowed and free). Some volunteer as lab assistants. Some join local chapters of scientific societies (a good way to meet potential employers or hear about academic opportunities).