The phrase "to hear the dispute" means to listen or consider the arguments, complaints, or disagreements of two or more parties involved in a conflict or disagreement. Full definition
The agreement contains no consequences for failure by either country, and there is no international court designated to hear disputes about the agreement. (nrdc.org)
The arguments come nearly six months after the court heard a dispute over Wisconsin legislative districts that Democrats claim were drawn to maximize Republican control in a state that is closely divided between the parties. (apnews.com)
A further possibility would be some form of ad hoc arbitral tribunal to hear disputes as and when they arise. (europeanlawblog.eu)