I have been reading through the C++ FAQ and was curious about the friend declaration. I personally have never used it, however I am interested in exploring the language.
With regards to operator<< and operator>> there is no good reason to make these operators friends. It is true that they should not be member functions, but they don't need to be friends, either.
The best thing to do is create public print(ostream&) and read(istream&) functions. Then, write the operator<< and operator>> in terms of those functions. This gives the added benefit of allowing you to make those functions virtual, which provides virtual serialization.