yes, your GPS will work in the Philippines, yun nga lang....as benderbot has mentioned, walang local map of the Phils to upload to the GPS.
I use the Garmin GPS III. I have been as far up north as Pagudpud, Ilocos Norte, and south to Laguna, and yes Baguio. it works fine! Just make sure you create waypoints as you go. It may not be as accurate in relation to the map installed on the GPS, but that is just because the maps are 'approximates' since it is a world map. In the US, there are maps that can be purchased that are updated yearly to include new roads and establishments. There isn't one for the Philippines yet, though. (that I have heard of)
yung agila 2 sattelite is a telecommunications satellite (pls correct me if I am wrong) The GPS recognizes geostationary positioning satellites, which are all around the earth (there are 32 I think) and your GPS will recognize a few of those at a time. The more satellites it locks into...the more accurate your position will be. That is why a clear view of the sky is essential. Before using your GPS in a different region of the world, make sure that you choose your location correctly. This will orient the GPS to the satellites it must look for or 'see' in order to give you a precise location.