Here are two options for you:
1) Drill holes into the granite with diamond bits and then put your anchors into the holes. Use the type of metal anchor that will expand when you put the crew into it. If you use anchors make sure they are galvanized and rustproof. The reason I don't like this is because if you do not seal the hole and water gets into it and then freezes you could crack the granite.
2) Get some epoxy and glue the plaque to the headstone. Use a knife grade epoxy (here are links to 2 of them:
http://www.defusco.com/instant-install-minute-epoxy-20oz-knife-grade-p-2371.htmlhttp://www.defusco.com/rivo-knife-grade-epoxy-p-1427.htmlIf you epoxy the plaque make sure the surface below is not polished to a high gloss as that would mean the porosity is reduced. If that is the case you should rough it up a little with something abrasive (like diamond sandpaper - see this link):
http://www.defusco.com/electro-diamond-sandpaper-grit-p-2072.htmlOnce the epoxy has cured it will give you a permanent bond between the plaque and the granite. The reason for the knife grade is it is easier to work with, especially on vertical planes. Just make sure you want this plaque to become a permanent addition to the monument.
Personally, I like idea 2 the best. It is simpler and no less effective. According to Occam's razor "the simplest answer is usually the correct one".
Mark