OK. You plug the ethernet cable into the back of the TV. What do you plug the other end of the cable into?
Just to give you an answer in the meantime...plug the other end of the ethernet cable in to your modem box provided by your internet provider.
Who provides your internet...Comcast? Charter? Another company? Whatever company it is, they have given you a modem that you can plug the ethernet cable in to.
The simple version is, you plug the cable into an open ethernet port on the back of the cable/wi-fi router.
Your wireless router should have 3 or 4 Cat 5 cable ports.
This is a newer router but they all have something like this. The yellow port is for a cable running from your modem, the other ports can be used for any device you want to plug in. Even multiport hubs which expand your port options.
The router that your modem is attached to.
If you don’t have a router, get one.
Netgear makes really good stuff and Best Buy often has it on sale for prices comparable to Amazon.
They also price match Amazon.