Stipend for internship for international students

To whom it may concern,

I am an international student at the University of Haifa. As I am here on a student visa--as opposed to a work visa--I cannot work here legally. However, I have been told that I can receive payments in the form of scholarships/stipends. I have been offered several part-time internship positions that are paid.

If I were to accept these positions and the payments that they offer, could I do so legally?

From the standpoint of the organization hiring me to work as an intern, what are their legal/tax obligations? Clearly I could not be paid as "osek." Would an employer-employee contract be appropriate? What are the legal/tax terms that they should include in any official documentation?

I really appreciate you taking the time to respond to these questions.

Much thanks,
Elise