The coalition government holds 19 of the 42 seats in the Legislative Council, and there have been reports Mr O'Farrell will be forced to strike deals with minor parties to get his legislation passed.
One group, the Shooters and Fishers Party, have two MPs in the upper house, and a wishlist including the right to go hunting in national parks.
They also want to introduce shooting as a sport in schools, create private game reserves and relax gun licensing laws.
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On Wednesday, Mr O'Farrell dismissed claims he would bow to the Shooters' demands, saying his massive election victory meant he wasn't going to be "held hostage" in the upper house.
"We have a mandate for the policies, programs and principles that we put forward (at the election)," Mr O'Farrell told reporters in western Sydney.
"We have no intention of doing deals with the minor parties, to sell out those plans.
"There will not be a decision to turn our national parks into hunting reserves (and) we're not going to replace literacy and numeracy in our schools with 'How to dismantle a gun in five seconds'."
