One of my fellow Scout leaders just got a Biolite stove for his birthday, so we tried it out last weekend on a camp.
It is too big to use as a backpacker, but would be fine for a boat trip. When you light it up, the thermocouple heats up and creates enough power to run the fan (you need to have the internal battery charged first so the fan can operate while the fire is just warming up). Once it reaches high enough temps and the battery is charged, you can then charge an external device, through a USB hookup.
It is going to take a lot of heating and fire tending to put a significant charge in any device. His I phone charged about 2% in about 10-15 minutes. Now this is without a pot on top (it has an integral pot holder). I'm not sure whether having a pot on top, retaining more heat is going to generate more electricity.
It was an efficient wood burning stove, worked as a device charger, but I wouldn't count on it to charge your phone fast enough to watch TV on your phone.