Espostoa species are mostly covered in greyish coloured hairs, except for one of two species when they are very young.
Whatever it is, it looks like a desert cactus, so it will do fine with as much direct sun as possible and free draining compost. Whatever that brown stuff is (some sort of moss?) get rid of it! Make sure the pot has drain holes, so it won't accumulate stagnant water at the bottom.
So long as they are not waterlogged cacti grow well with regular watering in summer (e.g. once a week or even twice a week in hot sunny weather) but give them no water at all for 3 months or more in winter to make them go dormant. That way you are more likely to get flowers than if you keep them watered and growing all the year round.
If you do get flowers, stop watering completely immediately after flowering until the flowers have dried up and fallen off. That may take a few weeks, even if the flowers are only open for 24 or 48 hours.
Repot it every one of two years at the end of its dormant period, depending how fast it grows.