The victim surcharge pays into a fund that pays out to victims of crime under the appropriate class. It does NOT go to compensate the victim of YOUR crime.
The Victim Surcharge certainly doesn't pay out to victims. It goes into a series of funds, like the ones behind the National Lottery, that worthy victim support groups can apply for money from. It seems to be extremely difficult to find out where the money goes, since most of the figures on the MoJ website1 are several years old. Personally, I doubt it does much to benefit victims, since it looks as if it raises about £20million, for about 6.2 million incidents of crime experienced just by adults, although it probably keeps plenty of Social Justice Warriors in employment.