Do I need to accumulate a set number of points before I can work in Australia? How much points do I need? How do I get these points?
 
depends on what Visa you are applying, and yes you have to accumulate those points
 
How do I get these points?
  
It depends on your
 
Age
  
Your school + work experience ( depends on Australian demands )
 
You English language ability
 
If you have worked/studied in Au
 
Your spouses school + work experience
etc etc
 
example only
 
you have graduated in La Salle as BSCOmSci and CUrrently working as a .NET Programmer for 5 year you get = 60 points
 
You English language ability IELTS total band is 8 = 25 Ppoints
 
You are 30 years old = 15 points
YOu have studied in AU = 5 points
 
etc etc ...