Anduino ECG - do I need an amplifier?

An Electrocardiogram Amplifier does a very specific job and has been studied a LOT. Start with Google "Electrocardiogram Amplifier"

Read some of the work that has already been done, such as:

"http://www.rle.mit.edu/acbs/publications/journal_papers/micropower_ekg_amp.pdf

...it's not a good subject to start from Zero Base on.