Yes. LG 3D TV's use polarized light to send different images to each eye. This is the best technology because glasses are inexpensive and the TV works with a wide view, unlike the 3D with no glasses that only works in 15 degree viewing arc.
Any polarized 3D glasses from movie theatre will work. To tell if your movie glasses are polarized, take an LCD digital watch. Look through the glasses at the watch and turn it. The watch will go from totally black to readable to black, and so on, as you turn the watch. Also, you will notice one eye can read the digital watch at the same time it is black to the other. This is how the polarized TV works. The digital watch display is polarized and the glasses are polarized, so only one eye can see the image on the watch at the same time. In this way, each eye sees a different image, creating the 3D effect.
The polarized direction of the lens for each eye matches the image displayed by the TV.
If you take shutter glasses from other 3D TV's, you will see that the "digital watch test" fails. Both eyes can read the watch, no matter how much it is turned. Shutter glasses do not use polarization to view TV.
Note that polarized sunglasses will NOT work. Sunglasses have the same polarization direction for both eyes, because horizontal polarization is ideal to block glare from the road or from other cars. (Polarized 3D works BECAUSE the two lenses have different polarization directions.) You will also notice the 3D TV looks fuzzy without the glasses on. The sunglasses will probably not reduce the fuzzy effect, but rather make the screen look very dark.
If you had only one good eye, and you wear a patch like a pirate, you would still need polarized 3D glasses to watch 3D TV. You would not see in 3D, as two eyes are required, but without the glasses, your one eye would see both images. This would look fuzzy. Your good eye needs the polarized lens to block the second image meant for the second eye only.