I think our PC actually is connected to it over WiFi or something.
I'm not sure how playing games would work, since it's in a separate room.
I'm sure anime will look great on it though.
Actually, most anime will look like shit, period, because most BD releases of anime are very lazy upscales, which you're then further blowing up to 4K.
I tried to find a good screenshot to demonstrate this, but finding a screencap that I was sure was from the BD release at full resolution proved more difficult than is reasonable, but some anime I recall as having really shitty BD transfers were The Melancholy of Haruhi Suzumiya, and Baccano.
However, most anime films that got a theatrical release should have been produced at a higher resolution (And hopefully given more love during the transfer) so they're generally better, but still will look blown up as shit on 4K.
TL;DR:Your parents fucked up.