Back in the days, vacation was an affair organised by workplaces. State companies (all companies were state companies) owned vacation venues, and workers were entitled to an organised trip there, so that's why you have a bunch of people who don't really know each other on the same vacation at the same time.
Ismerkedési est means essentially a soirée organised in order for people to "get to know each other", but in Hungarian that term has a strong connotation that it's for romantic purposes.
So the situation is essentially an organised vacation party where people are supposed to find romantic partners.
So some context. In communist era Hungary, a lot of the population lived - and still lives - in big prefab apartment buildings that run off central heating.
In the winter as it was getting colder, the heating would get turned on at the same time for the whole district if not the city.
The "they" in "they are finally heating at Jucika" is the government. It's a hot topic every year when it gets turned on, as the people pay a flat rate for warmth.
But did they stop? It looks like the US military was defeated