I was checking USAJobs.gov to see how many federal jobs are available on Guam and, surprisingly, there were over 3,000 results after typing in the word “Guam” as a location. But refining the search to “Guam” as the keyword, and "Agana" as the city with a search radius of 60 miles (covering the entire island), produced a different result: 36 Guam specific jobs.
Among the federal jobs: Mandarin teacher with U.S. DOD, office automation clerk, electronics engineer, and fire protection, among others.
Monster.com turned up 13 results, but six were Army National Guard enlistment teasers.
Some other sources: Pacific Daily News listed about 35 jobs, many in the travel related area.
Interesting find on PDN: The American Red Cross is looking for an emergency services director.
University of Guam always has a fair number of jobs.
Great link collection to various government sites here
Guam Department of Labor has resources and links.