How free is the free language exam?

The Hungarian government has recently announced that from 2018 people under the age of 35 will be eligible to get a refund of the price of their first successful language exam, which is a prerequisite for earning a degree, and will be a prerequisite for gaining access into higher education as well from 2020. Article headlines have written "Free language exams from next year" - this article lists the criteria to be eligible for the refund, and goes deeper into the question whether it really turns out to be free to take a language exam or it has some costs after all.