What do I need to connect MacBook 13" mid-2010 to HDMI TV?
Yes, it is true. 

MacBook (Mid 2010), MacBook Air (Late 2010), MacBook Pro (Mid 2010), Mac mini (Mid 2010), iMac (Late 2009), Mac Pro (Mid 2010) and later models supply multichannel audio (up to 8 channels) and video signals over Mini DisplayPort.

There shouldn't be any dependencies for it to work other than an HDMI cable to use from your HDTV to your adapter. If you plan on purchasing a third party adapter make sure you confirm that it does both audio and video.


Mini DisplayPort | Thunderbolt to HDMI Adapter w/ Audio Support
About Mini DisplayPort to HDMI adapters