What word in French would you use for attend, in the sense "attend the class"? Attendre seems to mean to wait; dictionary offers:
but I guess only some of them are normally used in this context?
I would have used none of them. To be exact, my usual translation of “to attend a class” is “assister à un cours”.
You could also use the word suivre.
Twice a week she attends French classes. Deux fois par semaines elle suit des cours de français.
In the context of an active attendance, participer is suitable.
I will attend this meeting. Je participerai à cette réunion.
To follow up on the 3 "correct" answers, there are some differences in the 3 proposed translations
assister à un cours : you are going to attend the class at a specific date. It not mean that you are attending the class for a whole semester.
suivre un cours : here you are attending the class which lasts for several sessions
participer à un cours / prendre part à un cours : as @Shlublu noted, active attendance is implied. Nothing implied about the number of sessions.