You'll learn the basics of Android fairly quickly. I think I was well versed in it within 2 weeks of buying the original Droid(I came from a Razr). I was modding everything I wanted to change by week 3. Although I do have a background in computer software, but with the apps these platform designers create, it quickly becomes very easy to make your phone, your phone.
The best thing to start with is reading these forums for apps you "Must" have, there's always the top 10 list that are essential to most users. I know reading those helped me a great deal. Once you've fiddled around with the essentials, you'll realize what you still need, then you can sift through the apps section looking for exactly what you need to perfect your device to your needs.
The first month of a new device is always exciting, one of the most important things is going slowly, take notice of what other people are doing, learn each process thoroughly so that you may get the most out of each app you decide upon.
I can't tell you how many apps I use on a daily basis that I learned about from seeing someone using it on this forum, there's a wealth of knowledge to take in, be sure to take advantage of it.