Fannie Mae and Freddie Mac are Government Sponsored Enterprises (GSE) in the home mortgage business. They have the exact same business model and they do the exact same thing; they buy mortgages on the secondary market, pool them, and then sell them as mortgage-backed securities to investors on the open market. Everything else regarding government guarantees, explicit guarantees, implicit guarantees, subsidies and direct government funding is exactly the same for Freddie Mac as it is for Fannie Mae.
The difference between Freddie Mac and Fannie Mae is that Fannie Mae primarily buys mortgages issued by banks and Freddie Mac primarily buys mortgages issued by thrifts.