If I purchased Minecraft for PS3, can I play on PC?
I have purchased Minecraft for PS3, however for various reasons I am dissatisfied with the PS3 experience and I would like to continue playing on PC.
Does the PS3 purchase/license allow me full access to the PC version and/or any other versions of Minecraft?
No.
Purchasing the PS3 copy gives you the right to use the PS3 version. It does not give you any right to the PC version, nor will it allow your PS3 account to use the PC version.
If you want to play on PC, you'll need to buy the PC version separately.