Are Bison And Buffalo The Same Thing?

In a way you are both right. Buffalo and bison are completely different animals (bison are very shaggy with a hump.) The confusion has arisen  because in North America, the native bison has usually been called buffalo. You can find out more about the difference at notitia.com - this page is about the buffalo, but if you go down on the right hand side you will also find images of the bison.

No they are related though

Yes and no. Bison found in north america are referred to as buffalo, but are normally different.

In America the bison is commonly referred to as "buffalo". But in actual they both are different.
To find more details, see the link below:
en.wikipedia.org

Are buffalo and bison the same animal?

No they are pretty much the  synonym(same).