I'll start with the specific question you've asked - the answer is: not always and it depend on the internship you'll get.
There are a few institutions in Israel which offer internship programs for international students in Israel. To my knowledge they are all in English because they are built especially for international students.
All internships in Israel are for students that attend an Israeli university or attend other academic institutions that collaborate with Israeli universities.
Among the academic institutes which offer internship programs to international students you can find: The Bar Ilan University, The Ben Gurion University of the Negev, The Hebrew University, The Tel Aviv University and more.
I've attached a link at the end of my message to an article about the different universities and programs you can choose from so you'll have all the information in order to find the best program for you.