|I don't know what your problem is. I'm running Windows 7 HP Edition and "Korean" is on my list of alternative keyboards. I guess you just don't know where to find it:|
Control Panel > Region & Language
Click "Change keyboards..."
Under the General tab, click "Add"
Now scroll down to "Korean (Korean)"
Click the + sign to expand it.
Click the + sign against Keyboard.
Tick the "Korean" tick-box.