A TV should work fine. However, you might need to enable a "Game mode" on the TV. Some TVs try to "enhance" the image through some weird (and usually ineffective) methods. This adds some delay to the image while it is processing. For regular TV/movie viewing, it isn't noticeable. However, for gaming, especially competitive games, it can become very annoying as you push a button on your keyboard and there is a noticeable delay in when the action happens.
As far as the games freezing/lagging goes, it depends on your hardware you have. If you have low-end PC hardware, then your games will most likely lag and/or have some stuttering. You might need to lower the graphic settings and find a balance between quality and performance. However, the TV will not cause massive delays; it might be noticeable, but it shouldn't be excessive.
The vast majority of graphics cards from the past decade or so come with at least 1 HDMI output. You simply plug in your HDMI cable from the graphics card to your TV and that should be it.