At the moment the bridge only leads to a huge island of garbage, although by 2016 that is set to become a huge benzene-flavored woodland park - the proposed venue for the proposed 2016 Tokyo Olympics. (Tokyo Sea Forest, motto: "If you build it, they will film porn there".)
Bikes aren't allowed in either of the tunnels leading off the island. So even if we could ride over the bridge we'd have to ride back the same way. Otherwise it would be a nice short-cut across the bay.
So the principal benefit of the bridge is to reduce congestion by garbage & dump trucks on R357 between Kasai and Odaiba.