You really have two options depending on what exactly you want to do. The first choice is if you want to obtain your Associates Degree in Nursing first and then continue your education. If that's what you want to do then you will need to take the prerequisites needed in order to apply to CSN's nursing school. You can check those classes out here:
BIOL 189 is extremely tough to get into because of the number of students needing the class is far greater than the number of classes.
After you get your Associates Degree and pass the NCLEX you can start working as a RN and then continue in a RN to BSN program. I believe Nevada State College offers that.
The other option you can do is to take some of the prerequisites at CSN and once you obtain 24 credits you can transfer to UNLV or NSC [I believe NSC only needs 12 credits to transfer]. This is the option that I chose [I'm starting UNLV this fall]. This will allow you to be able to finish the prerequisites at one of those schools and then apply to their BSN program.
So it's really up to you. But if you want to get your degree through CSN you want to get the Associates in Nursing.
I hope this helps!