You will need a DVD drive in your computer that can read DVD-RAM disks. Some can only read DVD-RAM and some can both read and write.
Check the specification of your existing drive. If it has no DVD-RAM capability, a new one will cost less that £50.
When the recorder saves files onto the disk, there are a number of index files, thumbnails etc but the main file is a mpeg with a different file extension. Any program which will play mpegs will play those on a computer.
To play them back on a TV you either need a DVD player that will play mpegs (in DivX format) or you will need a program that will convert mpegs to DVD format and then burn a DVD.
If your computer is near the tv or you have a laptop with svcd output, you can buy cables for about £10 to connect the computer to the tv and play the mpgs on the tv through the computer.