LM620, that certainly is a nice choice. But do note that it's relatively pricy for a 32" and it gives SmartTV functionality, which will be next to useless for you, if you use the TV with computer. Therefore you'll be paying for nothing.
Also, if you use it with computer (as the main display), you'd better make sure it supports 4:4:4 subsampling (not important for gaming, though) and has a low input lag (very important for gaming). Furthermore, LG's LM serie is still so new, it doesn't have any more-in-depth reviews yet. Therefore it's mostly just a guessing game at the moment.
Even more unfortunately, most of the HDTV reviews focus on sizes 40" and higher (and lately the trend seems to favor 55" and up, aargh!!). Combine that with the fact that 32" is almost borderline too big for computer usage, so anything bigger really requires a substantial viewing distance. Not necessary because of resolution, mind you, that's purely individual matter, I wouldn't worry about THAT. I would have bought the 42LM615 for 600€ on a bargain sale, but I can't get it far enough for comfortable viewing experience (too wide, can't see the whole picture properly without moving head sideways).
Also note that practically all TVs come with 400cd/m2 brightness, while monitors are usually rated 250cd/m2. Which are both too bright, as the "recommended" brightness is around 120cd/m2. Also note this: for 23" monitor, a 60-90cm viewing distance is recommended for optimal 3D effect. For 32", it will be even more...
One good thing there is about TVs, though: if it's 32" or higher, it's practically never a TN panel. And if you go with Panasonic, it's usually guaranteed to come with Alpha-IPS panels and have relatively low input lag, though traditionally Panasonics don't support 4:4:4. With Samsungs and LGs (maybe Sonys, too?) you have to make sure the review is about the EU version, as they quite usually don't follow the US models, with regards to input lag and 4:4:4 support. Philips are quite a safe bet regarding the reviews, as they mainly operate in EU area.
PS. If you DO decide to go for the LM620 (or whatever you decide to go for), I hope you'll chime in and tell us your thoughts on it.