This uses the .NET feature of Reflection to get information about a method within a class (in this case, the GetValue method within the SPServiceCollection class, then the method is "Invoked".
The bit that might be slightly confusing is the MakeGenericMethod call, which returns a MethodInfo object which represents the method declaration of type SPWebService (with type-assigned parameters), instead of a generic declaration.
The reason this is used (I can only assume from the blog post you linked to) is that you're calling a generic method in the web service, and thus you need to pass an object of unknown type (unknown at runtime, but known at compile-time) - using GetGenericMethod lets you call the generic method with a specific type at compile time.
This page demonstrates quite clearly the difference between a generic method invoked normally, and one invoked where the type parameters are set at compile time:
http://msdn.microsoft.com/en-us/library/system.reflection.methodinfo.makegenericmethod(v=VS.90).aspx