an arrhenius acid is a substance that when dissolved increases the H+ ion concentration. a base is a substance that when dissolved increases the OH- ion concentration.
a bronsted-lowry acid is a species donating a proton in a proton-transfer reaction. a base is a species that accepts a proton in a proton-transfer reaction. using this definition you can also relate the conjugate acide-base pairs. for example, CN- is a conjugate base to a weak acid (HCN), and HCN is a conjugate acid to a weak base (CN-)
These are two different definitions, but they pretty much mean the same thing. However, you cant relate the conjugate acid-base pairs when using the arrhenius definition, and I'm not really sure but I think I heard that the MCAT does ask something about the conjugate acid-base pairs.