Service need not be "unique". If you can alleviate suffering in your community through service to the poor, homeless, illiterate, fatherless, etc, you are meeting an otherwise unmet need and learning more about the lives of the people (or types of people) who will someday be your patients.
Service in another part of the world, while important, is not as highly value as you might imagine. Teaching English and computer skills on the surface doesn't appear to alleviate suffering. Are these skills the monks can use to be self-supporting? I concur with the person who said that this looks like an exotic vacation. I wouldn't put any effort into finding an additional volunteer gig in a clinic or hospital there; it would be very low yield unless you are very familiar with the language and culture; if you think American hospital voluneering is boring (folding blankets and stocking shelves), imagine how much less you can do if you are unable to understand what is going on, unable to communicate with others, and have no clincial skills to offer.