I need to know if the Sony SS-B1000 Speakers can plug into and work on my Sony Bravia HDTV.

Most likely not. Those speakers require an amplifier.

So basically you would need an audio/video receiver. If you want speakers you can connect directly to your TV and are self-powered, then you might want to look at computer speakers.

Without knowing the model of your TV though, we cannot be 100% sure. FYI: Nearly all modern Sony HDTVs are "Bravia;" think of it like a second brand name.