I need to calculate the distance between two addresses and I don’t need a map view or anything graphical.
I simply want the user to type in the address (end location is defined by myself) and let the javascript calculate the distance between the two points.
However I don’t find a way to send an address string and get the GPS-coordinates from it using the Google Maps API.
(I really only need the two GPS points, the distance calculation is trivial.)
What you are trying to do is called geocoding. It is possible with the Maps API. See the Geocoding section for more details. This is the basic idea:
However, you are limited to 2500 geocoding requests a day, and what you are trying to do is against the terms of use: