This is very nice if you do not have a horse of your own. In my area there is an outfitting company that rents horses for an all day mountain trail tour. This can be a wonderful way for horse owners to bond with their horse. The horses usually love trail rides since the atmosphere is so relaxing and the horse can go at its own pace. Join a club.
Many people love to join a club with their horse.
These clubs may include those for specific disciplines such as jumping, dressage, cutting, etc. There are also breed organizations that have clubs for specific breeds of horses, such as Arabians, Thoroughbreds, Quarter Horses, etc. It is also a good idea to join a breed club if you are interested in a certain breed of horse. You will gain the knowledge of the breed you like, and also meet people who own this type of horse. Go to horse shows.