Potentially this neutron - neutron star merger or ones that are detected in the future will result in the formation of a black hole and in that event we may get

Potentially this neutron - neutron star merger or ones that are detected in the future will result in the formation of a black hole and in that event we may get more data to help refine models of black holes and those refined models may give us insight into the mechanics of black hole radiation - but it would be a bit indirect and we'd have to get lucky. Also Hawking radiation is "very slow" and may never be measured directly in interstellar black holes