I'm not familiar with the Google Maps API specifically.... but I'm not sure thats how it will work.
The API.. is for making 'calls' to send/request data to their 'service'....
So unless you have some way to make these API calls... I dont think you have many options.
What exactly are you attempting to do?
In my mind the GPS will be good to get some lat/lon coords for you... but for you to plot a marker or plot a 'trail' of locations.. you'd need to send this data the Google map service/API...
How are you planning on viewing this map?