You're thinking of a palm civet which is a cat like creature in Indonesia. They eat the ripest coffee beans and pass them through unscathed and then they are collected. So it's not really digested as much as passed through the digestive tract.
Usually you would either buy it freshly roasted on site or buy the beans and roast them, grind them and then brew them within a week of roasting them.
It is very expensive but then it's a particular taste. I'm not too impressed with it.
It would taste rather acrid, I would imagine.8O