Func is a delegate without parmeter and with an IVisitorRepository return value.
() => is a lambda expression creating an anonymous method.
new VisitorRepository() is the content of this anonymous method.
so this line is creating a delegate which is pointing to a anonymous method, which is returning an instance of VisitorRepository.
Func<IVisitorRepository> builder = () => new VisitorRepository()
In the next line, you set the value of a static property to this just created delegate.
VisitorRepositoryFactory.RepositoryBuilder = builder;
After this you can use the property to call the anonymous method, which is creating a new instance of VisitorRepository.
IVisitorRepository repository = VisitorRepositoryFactory.RepositoryBuilder();
In this case, repository will be an instance of VisitorRepository.