As long as your school is NLN-approved
, it shouldn't make a significant difference in getting or not getting your first post-grad job. Some nursing programs have a better rep or a little more cachet than others, but it's not quite equivalent to hundreds of Ivy League law- or business-school grads duking it out for the most prestigious positions. The need for nurses is just too great.
Your school performance and/or work experience are going to count for more. That said, it does pay to research your top choices carefully and make sure their nursing practice and teaching/learning theories are compatible with your own style and beliefs, for 2 reasons:
One--you'll be spending the next 4 years of your life there, and you don't want to spend it muttering "Bullsh*t!" under your breath in every lecture. Two---although it shouldn't be a barrier in obtaining a post-grad job-- for better or for worse, you and your school will somewhat reflect on each other for years to come. (While in clinical, wait and see if you don't hear people saying, "Yeah, State U. nurses are always SO...." whatever.)
Best of luck to you.