Hello,
For a practical application, forget the cable length in between the two LNAs. This was just to explain that due to non-50 Ohms impedances you can have somewhat more or less gain then the sum of the two.
To have benefit of an additional LNA, you should know the noise figures of the LNA, the receiver and the cable loss. The LNA with integral antenna I saw had about 20..30 dB gain and it was never necessary to add additional gain (unless you have very long bad cable inbetween). If your GPS receiver has 3 dB noise figure, and your external LNA has (for example) F=1.5 dB with 10 dB gain, the overall noise figure would be 1.8 dB. Further increase of gain will not bring you much more.
If you have the means you can try it. If it doens't improve, the reason isn't poor sensitivity of the GPS receiver. If you have passive antenna, place the first LNA as close as possible to the antenna to avoid noise increase due to cable loss.