Dante, it goes to Laci's estate. Sharon went to court to become the appointed administrator. The money will likely go to firstly pay the Lawyer, then be divided amongst her whole family including her real father. Laci I'm sure had a Will but neither Scott, nor her son will be able to inherit!! So goes to the next level of next of kin (at least that's the way it works here). I suppose she could have willed it all to a charity but I doubt it.
I hope I'm wrong. But seemed to me that Sharon wanted to prevent Scott from profiting from the murder (through books, tabloids, films, songs, etc.) but the courts ruled against her and threw out the Son of Sam laws. If true, I hope it was appealed.