As written, the bill would let victims go after people who possess the images, as well as those who produced them in the first place. The victims would be able to sue for as much as $150,000. (Florida has a similar law in place.) The idea is that private law firms will see these cases as moneymakers, and their suits will be another way to discourage / crack down on child pornographers, the AP reports.
There's a federal law that requires restitution for people who possess child porn, though there have been challenges. A Texas judge ruled that it wasn't OK to fine one convict $3.4 million because the amount was so large as to be an excessive punishment. (He'd possessed two of the victim's photos.)