Ise pilgrimage; pilgrimage to Ise Grand Shrine
Refers to the act of visiting the Ise Grand Shrine, a historically significant Shinto pilgrimage.
In the Edo period, many people wished to make the Ise pilgrimage at least once in their lifetime.
Ise pilgrim
Can refer to a person who makes the pilgrimage to Ise. Less common than the pilgrimage sense, and often context-dependent.
It was customary to offer hospitality when you met an Ise pilgrim on the road.