If you can dissect the GPS and find whether its output is serial to a serial-USB converter or the chip speaks USB.
Gramps, there is no need to pull one of the one you found apart and trying to find if there is a serial output you can access.
GPS modules with a serial output that are intended to be used with a microcontroller are available on ebay from US$5.71 including delivery:
Get the best deals for gps module at eBay.com. We have a great online selection at the lowest prices with Fast & Free shipping on many items!
www.ebay.com
You need to get one that comes with the antenna and there are listings with both big and small antennas.
My understanding is that the bigger antennas are more sensitive, and so are better performing, and that people choose the smaller antennas to use with flight controllers for models where the lower weight is important.
I have one of the NEO6 models, although as I got mine from China on ebay I don't know whether it is a genuine NEO at this price, hut it reports my location correctly and changes as I move around.
The cheapest NEO listing in my search claims to be the newer NEO7 model:
Find many great new & used options and get the best deals for -NEO7MV2 GPS Module with Flight Control EEPROM APM2.5 Antenna for Z6O7 at the best online prices at eBay! Free shipping for many products!
www.ebay.com