it would take a bit more work than that. bluetooth dongles are meant to be used with a computer os. you would want something more like this
https://www.sparkfun.com/products/10268
but keep in mind bluetooth technically is a digital signal. you would need an analog digital converter in the headphones to convert the digital signal back to analog. this would also likely mean you would need an amplifier on the receiving end.
another thing to consider is that a bluetooth device like this only has an rx and a tx pin. meaning it can send and receive data at the same time, but only one signal each. you would need a way to multiplex the left and right channels of the audio together before sending, and a way to demultiplex it upon arrival. another note about bluetooth, its likely that it would sound pretty bad.
this is certainly doable, but the results may or may not be less than desirable. if you have any other questions about bluetooth, or anything i am discussing in this post, i would be more than happy to elaborate.