I would like to start off by saying that before you start deciding how to procede, you need to figure out why he is biting. Toddlers bite for three reasons,
#1 He's teething: If this is whats going on then he is only biting because he is in pain. Check out his mouth see if he is geting his one year molars in, He could just need some orajel.
#2 Cause and Effect: Many toddlers start biting not to be mean but because it gets a big reaction. If you think about it alot of what a toddler does at this age is cause and effect. "if I bang on this it makes a loud noise, If I drop this it bounces, If I scratch this it makes a mark, If I bite mommy she screames" If you think that this is what he is doing, tell him in a firm voice "NO, Biting" and quickly redirect him to something that he IS allowed to do. You can also keep a teething ring near by. "no bitting mommy, You can bite this!"
#3 Non Verbal Frustration: I doubt at One year old that this is it, but as Toddlers get older, they get frustrated because they have more and more complex emotions but don't have the verbal skills to express it, So they get angry and bite. The thing to do for this is help them express what it is they are trying to get across and show them a better way to resolve it. "Don't Bite,Jonny. Do you want the toy? Billy's not done playing yet but when he's done maybe he'll share. Can you ask him to share?" Like I said, this is for older Toddlers. More than likely its one of the first two. Good Luck, and no, you don't need to bite your child back.