It is pretty close to the centre, yes. But neither metro stations (on two opposite sides from hotel) are within 5 minutes, sorry to say. And although the trains are frequent /I dont think you can be there in like 10 minutes. But if you are on vacation and your time is not restricted, you should be fine :)
it's about 5 min walk from metro station. that way you can make it to city centre in 10-15 minutes.
Get an answer from City Club Hotel staff and past guests.