Actually they already new just before the departure from Wuhan that we were going to Helsinki.
Living in quarantine is ok so far. I am in a room with my wife and we are urged to keep contact with other people as small as possible. But in principle you can talk to others.
It is assumed that we can leave after 14 days, but in case there is a new positive case within the group they might to decide to reset the timer.
we were only checked for symptoms before the flight. Nobody with symptoms was allowed to board (I think everybody boarded though). After arrival everybody went to a medical check and they took a saliva sample that was sent to a lab. So those confirmed cases went to the quarantine quarters first and only got taken out and brought to the hospital the morning after.
I am quarantined in a german military base after flying out of Wuhan with a german air force evacuation flight.
We have wifi on the base, the backbone is struggling though - 120 bored people I guess...