The Bonding Realm is an odd one, as while the rewards are indeed Bond items, the maps themselves pit the player against the heroes they can summon. I suppose the party bonds when fighting each other instead of simply gathering around a campfire and sharing stories.
Different maps are available depending on the day. As each map is unique, they will each need to be cleared to gain the Goddess Blessing for that particular map (like in the other modes).
The maps include: The Shadow of Valyria, The Shadow of Larcuss, The Shadow of Rayguard, The Shadow of Salrath...