These are my 2 cents ... though it should be clear that I am not an expert in Swiss immigration laws ...

Assuming this person doesn't work in Switzerland, the important point would be to get a residence permit for France, as the B permit is a Swiss document and it doesn't give any allowance to live in France. I would suggest this person to contact the embassy of his contry in France in order to check the requirements, as different countris may have different requirements.

In case this person works in Switzerland, in addition to the residence permit for France, a frontalier work permit would also be necessary.

Basically, if you are non EU, you need what we call "autorisation de séjour" to live in France. The process is really long and harsh and if you do not work or study in France, you will not get it ( except if you are married and your wife is already working in France). Furthermore, you need to be aware that  the Administration in France is pretty long and harsh.

On the other hand, to study in GVA, you need to apply for a student permit and if you get it, you will have to leave within Switzerland.