I am going from the uk to madiera on holiday on TAP Portugal will I be allowed to use the Internet on my laptop or will I have to pay to use it or what?
You can use your laptop in flight but there will be no internet connection possible.
The problem is the lack of a suitable link between the aircraft and the ground, in particular the lack of bandwidth. If it ever happens it is likely to be limited to First/Business class and be very expensive.