If you download an offline map on Google maps you will have to have an internet connection to get the route set up but once the route is set up you can turn off wifi, I don't know if there is an app that works like a gps that is in cars though.
If you look down deep in internet, then you see something like "http://www.clubdelamar.org/sistemagps.htm" wich teachs you.. Gps is just a device for receiving signals from the satellites, then you can use any device pc, laptop, tab, xab, whatever the techonology creates to driving routes even if you have not internet connections.
No, the software must be connected online, in order to live updates on that part of the map are located and where you go to get to your final destination. I recommend you use the Waze Application. regards