Will someone please help me understand how I can read an RFID tag using this (http://www.seeedstudio.com/wiki/index.php?title=125Khz_RFID_module_-_UART) module? I am new to arduino, but I am not new to programming.
I tried the sample code with the module's TX pin connected to the Arduino's TX pin, but I don't get any feedback form the module while monitoring the serial port.
but I don't get any feedback form the module while monitoring the serial port.
This is because you are trying to use the same pins to talk to the monitor and the RFID reader.
Use a software serial port emulator to read the RFID reader.
I tried the sample code with the module's TX pin connected to the Arduino's TX pin
That doesn't sound good, unless it's a typo. TX needs to be connected to RX and vice versa. But as Grumpy_Mike points out, if you want to emit the data so you can read it over a serial port as well, you're going to need two.