If by compatible, you mean "is there an equivelent tile covering the exact same area, for a specific zoom level", then yes, the OpenStreetMap tiles are compatible with Google Maps, and even Bing Maps.
If you want to add OSM map tiles as a layer using the Google Maps API, then you can use code like:
var copyOSM = new GCopyrightCollection("<a href=\"http://www.openstreetmap.org/\">OpenStreetMap</a>");
copyOSM.addCopyright(new GCopyright(1, new GLatLngBounds(new GLatLng(-90,-180), new GLatLng(90,180)), 0, " "));
var tilesMapnik = new GTileLayer(copyOSM, 1, 17, {tileUrlTemplate: 'http://tile.openstreetmap.org/{Z}/{X}/{Y}.png'});
var mapMapnik = new GMapType([tilesMapnik], G_NORMAL_MAP.getProjection(), "Mapnik");
map = new GMap2(document.getElementById("map_canvas"), { mapTypes: [mapMapnik, G_SATELLITE_MAP] });
map.setCenter(new GLatLng(32.08, 34.82), 12);
map.addControl(new GLargeMapControl());
map.addControl(new GMapTypeControl());