Question

Do I need a converter box for my TV to receive digital channels.

Answer

No, your TV has a built in digital tuner that is capable of tuning both over the air (terrestrial) and un-encoded digital cable signals.

Note when connected to cable: 
The digital cable channels on your TV may have a different channel number than if you were using a cable box.

Your TV may not receive all of the channels that you would otherwise get with a cable box such as premium or other channels requiring an additional subscription.