Bookkeeping is no longer straight forward. You need insurances and if you want to process BAS statements, you either need to be registered with the ATO or working under a registered tax agent. Which in turn means you need qualifications of some kind Certificate from Tafe (like a Cert IV) or Degree in Accounting.
Only if you are contracting. If you are employed as a permanent (which I was) its ok. The company had an accountant who would check over all he monthlies before giving the a-ok to process everything. If that makes sense.