In the newest version of Google Analytics (2014), where do I find the conversion tracking code? The following resource doesn't tell me and I can't figure it out.
Click on "admin" in the top menu then in the properties - the centre section - the third item down is "tracking info" click it to open and you will see "tracking code"
Unlike AdWords there is no specific (extra) snippet that you add to pages to signify a conversion.
Analytics conversions can be much broader (up to 20 per view/profile) and, ideally, you should track macro and micro conversions.
Since you are new to this, start with an obvious one. Many sites redirect users to a "thank you" page after submitting a contact form (or if e-commerce, a 'success' page).
Under admin, go to 'view' settings, then 'goals.' Under 'Goal Setup' select 'Custom,' then (next screen) select 'Destination' and enter the relative URL of your goal (the page viewed)...for instance
If there is a value or a funnel you can set those up too.
There can be more to it but once you set one up the rest will come easily.