No, they're not the same.
Tor browser gives you ANONYMITY, which is not the same as privacy.
What is Anonymity ? Why is it Important ? http://blog.nowherejezfoltodf4jiyl6r56jnzintap5vyjlia7fkirfsnfizflqd.onion/opsec/anonymityexplained/index.html
Why isn't privacy enough for anonymous use?
http://blog.nowherejezfoltodf4jiyl6r56jnzintap5vyjlia7fkirfsnfizflqd.onion/opsec/anonuse/index.html
(BTW stock Firefox is not even private at all)
These are .onion Tor hidden services (darknet sites)
To access them you must use Tor Browser
https://www.torproject.org/download/
https://nowhere.moe/