Ignoring the power supply issue, you need to be aware that GPS in the context of your question is a receiver only device. It can't transmit anything over RF. Satellites in space send out RF signals which GPS 'module' receives and then works out your location on the planet.
In order to transmit data from your unit to a PC, or PDA or Mobile Phone over RF you'll also need either Bluetooth Low Energy (up to 50m), normal Bluetooth (up to 100metres using Class 1), or WiFi (up to 300metres) or a GPRS module (sends data over a 2G/3G or 4G Cellular Network as TCP/IP data), or if the unit is located in a very remote area away from civilisation, you'll need a Satellite Modem for a TCP/IP connection (listed in order of lowest Power consumption to highest). Other RF technologies like Zigbee need a dongle fitted to the receiving unit.