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You don't. Unless your job is to entertain this person otherwise it's his/hers problem. If by any chance this this person is putting the responsibility of his/hers emotional state on your shoulders and asking you to do something, it's not ok and is an attempt of manipulation.
Or a cry for help because the person only knows this way to ask for that kind of help.
A continuous boredom is actually more like a feeling of emptynes and a lack of energy to engage. You cannot help someone fill the emotional emptiness they are feeling, you don't even know the cause. And it leads only to codependency.
Even if it's a cry for help you can show them your perspective but it's their job to heal and get out of the "pit" they are into.