A cozy station with everything you need. There are free toilets near the train station. The only caveat is that there is no scoreboard with information on the departure of trains.
There is a good store with normal prices.
It is better to get to the main part of the city by bus (if you know which one is needed) or by taxi (the price for Russian rubles is about 150-200). It's decent enough on foot, and there's not much to look at along the way.
Kobrin railway station is well equipped, there is a large waiting room, there is a bicycle parking place on the territory of the station. There are 2 large car parks on both sides of the station.