It is not permitted to transmit on the same frequency as TV signals are broadcast of course so only way is to first turn it into another frequency that you are permitted to use. To transmit all programs would require too much band width so only a single program can be transmitted and received within the house. So you would need a box to receive the freeview then a box to transmit to that freeview box to tell it what program to receive and re-transmit and then get the re-transmitted signal and display it.
This can be done you can receive TV on a PC and use remote desktop to view and listen to that TV from a remote room so yes it can be done. However I suspect you want to do it without using two PC's?
And yes there are
cheaper devices which will do the same thing
it states:-
One for All's high frequency 2.4GHz,
SV 1715 Wireless TV Sender enables you to send audio and video signals to another TV in the house, without the need for cables.
The infra red eye allows you to remotely change channel on the Sky or cable box or control your DVD player device from another room.
A single SCART input enables you to connect any compatible device in the transmitter so you can enjoy in another room.
Watch Sky or a DVD in bed using the
SV 1715 receiver and enjoy full control without having to get up.
Tidy up your home entertainment setup with the One for All
SV 1715 Wireless TV Sender.
However there is clearly a limit to how many wireless devices can use the frequencies that we are allowed to use. Much depends on what other equipment in the area is trying to use the same band width. And what comes along in the future. I have seen it so many times, set it up and all works well for a year, then something happens and it all fails. I had it with standard cables TV I had a device to take a SCART input and send it as RF down a TV cable so any room I could watch standard TV and what ever was on Sky and what ever was on DVD and what ever was on my VCR. However then freeview came along and it all fell over.
I would say if it can be wired that is always the best and avoid using RF where ever you can. If you live in the middle of no where it may work but then you would not need it.