There are several kinds of accommodation alternatives in Hungary but the cheapest one should be a dormitory belonging to the students’ homes section of the university you attend. One advantage is that it is cheap, it is an easy way of making friends and it provides you with the facility of regular partying.
On the other hand, renting an apartment is a more feasible option if you prefer privacy. You can rent a room at about HUF 25,000 a month. But renting a whole flat is also an option to follow. It is more expensive but a flat share will reduce your costs. We are talking about HUF 60,000–HUF 80,000 a month plus overhead. Renting a flat outside the capital is always cheaper, depending on the location of the university you attend.
Eötvös Loránd University organizes the first ELTE Budapest Summer University, which is a two-week program offered to Hungarian and international students, in various study fields. Language of the summer university is English.
European degree is a key for global job market, get it in Hungary! Apply for Stipendium Hungaricum state financed scholarship until the 31st of March! Register here: https://cwp.scholarship.hu/Welcome.asp?lang=eng