The full program name is Movie Edit Pro, which exists in three variants: Basic, Plus and Premium, in ascending order of price and, most importantly, facilities.
If you're not sure about or have never heard of "Plus" etc., I fear you may have bought the Basic version which, as John CB wrote, is rather limited and limiting.
If you ordered direct from Magix here (best way) then your invoice you received in an email with the serial number will tell you which version you have.
If you have installed the program then there a 3 places where you can see the full version name of the program:
The splash screen on start up
The top bar of the program interface
Help, About - also gives the current version number which is helpful.
The learning curve coming from Photostory depends on how advanced you got with Photostory.
There is a lot of commonality with functions, templates, transitions etc however some may be in a different location.
I would advise you to read the PDF manual available under under Help and watch the tutorials on getting started by John CB ( @browj2 ) part 1 and part 2