Xbee Zigbee communication not working as intended

Hello all!

I've been stuck for a while, but my I cannot make my arduino uno V3 communicatie with another Xbee S1 module on the PC. When shorting it from it's microcontroller so it will behave like an direct USB connection with the Xbee I can actually send stuff from xctu on this pc to xctu on another PC.

I am using an Xbee S1 connected without a shield to the arduino.

#include <SoftwareSerial.h>

SoftwareSerial mySerial = SoftwareSerial(0, 1);

void setup() {
  mySerial.begin(9600);    	//initialize serial
  pinMode(13, OUTPUT);   	//set pin 13 as output (LED)
  pinMode(0, INPUT);
  pinMode(1, OUTPUT);
}

void loop() {
  while(mySerial.available()){  //is there anything to read?

        digitalWrite(13, HIGH);
	char getData = mySerial.read();  //if yes, read it

	if(getData == 'a'){
  	  digitalWrite(13, HIGH);
	}

        else if(getData == 'b'){
  	  digitalWrite(13, LOW);
	}
  }
}

I use this to test it. From debugging I have discovered that mySerial.available() is actually always 0, however when sending characters from the PC to the arduino uno V3 will make the TX light blink.

Can someone give me a tip what's going wrong here? I really can't find it out.

TY in advance!