Mapping Center Answer:

Assuming you have obtained permission from Google to use their map. About the only thing I could recommend is making a screenshot (CTRL + ALT + PRINT SCREEN) and cropping it in an image editing package, saving it as a bitmap file that can also be a raster layer in ArcGIS, then use the Georeferencing tools to move it into it's proper geographic location.

If you were not able to obtain permission from Google (I don't know anyone who has), then you may be able to find another source, possibly from the services in ArcGIS Online.  These you can just add to ArcMap and they work.