How can I communicate Serially with an Atmega328

Loers:
What If I removed the Atmega328 from the UNO board then connected the TX , RX pins from the Atmega328 to the UNO board , will that work ?

Yes, that sounds like a good option for the gear you have on hand. With the Uno powered up the USB functionality will be provided that you need to view the strings on the Arduino IDE's serial monitor.