Gorilla Glass is made by an American company, Corning Incorporated and it's a specially toughened glass used for the screens of mobile phones, tablets and LCD TVs. As well as being tough and durable, the glass is lightweight and resistant to scratching. In normal use, your TV will collect dust although it's unlikely to get smudged by sticky fingers. However, if you have young children in your home, you'll know that TV screens definitely do get rough treatment such as being smeared by sticky fingers, coated with yoghurt and even dotted with Plasticine.
Dust your screen with a microfibre cloth, like the ones used to clean spectacles. These are available from opticians and electronics shops.
Dampen a soft cotton cloth with water and gently wipe the screen to remove fingerprints, foodstuffs and other foreign matter.
Use the microfibre cloth to give the screen a final burnish. Tell your children for the hundredth time that they must not touch the TV screen.
You can buy specialist sprays and liquids to clean your screen. A cloth dampened with tap water is cheaper and will do the job effectively.
Unplug your TV at the mains before cleaning the screen, especially when you're using a damp cloth.
Note that being scratch resistant does not mean that it's impossible to scratch or chip the material. Avoid using anything abrasive on the screen to avoid the risk of scratching.