GPS and Arduino

I have a LS20031 GPS module and an Arduino, and want to use the two together.

I have attached both of the GPS ground pins to an arduino ground, and the power to an arduino 3.3 pin, and the rx and tx pins to the 0 and 1 pins.

When I connect it to the computer, the red light on the gps flashes briefly before going out. If I attach a serial monitor, I get no output from the arduino.

Is there anything special you have to do to get serial on pins 1 and 0 to output to usb?

Thanks in advance,