Is it necessary to turn both Internet and GPS on before I can read my current location(country, city, locality etc) in my app? If they are, then an
There are two issues:
To get the coordinates you don't need the Internet. GPS is satellite-based. But to derive street/city information from the coordinates, you'd need either to implement the map and the corresponding algorithms yourself on the device (a lot of work!) or to rely on proven services, e.g. by Google, in which case you'd need an Internet connection.
As of recently, Google allows for caching the maps, which would at least allow you to show your current position on the map even without a data connection, provided, you had cached the map in advance, when you could access the Internet.