I will teach a blind person how to use LaTeX this week. Has anyone any hints for me or package recommendations?
(Disclaimer: I am not visually impaired, nor have I ever taught someone who is to use LaTeX.)
Here are the things that I would do:
Get on the blindmath mailing list. There are a lot of very knowledgeable and (importantly!) very helpful people there, both visually impaired and sighted, and some have been in the situation you're in. Whilst the focus is more on teaching the mathematics, LaTeX is a common topic and a common choice of medium. I believe that there is quite some discussion on editors and screen readers and how they react to LaTeX - start by searching the archives, but also don't hesitate to ask questions.
Take a look at Access 2 Science. Some of the people behind that (maybe all) are on the Blindmath mailing list, and are involved in accessible technology.
Keep notes and answer your own question so that others who are in a similar situation later can benefit from finding the information here.