It is a continuum. You can learn enough to 'not fall' in just a day or two. If you just started linking turns a day or two ago then you should have just enough skills to make it down most slopes without causing yourself major injury (even if you must side slip them).
Just riding down groomers or intermediate slopes doesn't require much more skill than that. It is when you start throwing in adders like speed, irregular terrain, obstacles, tricks or specific techniques that you will start to notice the limitations of just having the basics under your belt.
Don't stress out about learning everything immediatly, though... what is most important is to enjoy yourself.
Read on another forum: "If someone held a gun to my head and said, "You have to move to Salida tomorrow", I'd probably do it. If they told me I had to go to Breckenridge instead, I think I'd just let them pull the trigger."