There are some sets that you can cast your screen but I can't find which LG it is.
Be aware LG never answered about their privacy issues at http://bgr.com/2013/11/20/lg-smart-tv-spying/
In closing, if you have a WiFi router you should be able to use that with multiple devices as long as they are in range. TV's tend to have less range than a laptop. Figure 20 feet for the worst ones.
My 50" tv says it has wifi. Does this mean the tv screen can act as the monitor when I use my wireless laptop to surf the internet, etc.? The user guide shows picture of two wireless connections. One shows an LG Wireless Dongle (what's a dongle?) plugged into tv. Other pic shows just the tv and a wireless router, with each one showing the "signal" bouncing off it.
I have Comcast, and they gave me a combo router/modem. Said I don't need a separate wireless router to use the wireless laptop, and I do use the laptop fine.
So, is the tv already set up to be used with the laptop because I already have the router?