A singleton's purpose is to have only ONE instance of a certain class in your system.
The C'tor, D'tor and CC'tor are hidden, in order to have a single access point for receiving the only existing instance.
Usually the instance is static (could be allocated on the heap too) and private, and there's a static method (usually called GetInstance) which returns a reference to this instance.
The question you should ask yourself when deciding whether to have a singleton is : Do I really need to enforce having one object of this class?
There's also the inheritance problem - it can make things complicated if you are planning to inherit from a singleton.
Another problem is How to kill a singleton (the web is filled with articles about this issue)
In some cases it's better to have your private data held statically rather than having a singleton, all depends on the domain.
Note though, that if you're multi-threaded, static variables can give you a pain in the XXX...
So you should analyse your problem carefully before deciding on the design pattern you're going to use...
In your case, I don't think you need a singleton because you want the libraries to be initialized at the beginning, but it has nothing to do with enforcing having only one instance of your class. You could just hold a static flag (static bool Initialized) if all you want is to ensure initializing it only once.
Calling a method once is not reason enough to have a singleton.