When I run the SEO Moz tool it says that there are duplicates of each page on my site being picked up by Google. I think this has to do with a www.domain.com and domain.com (no www) being picked up. Has anyone come across this before?
Yep, this is quite common. Eventually Google will figure out that the two versions are one and the same, but it's a good idea to implement a site-wide redirect from one version (with or without the www) to the version you want.
There are simple ways to do this depending on what type of server your site is on. Talk to a developer or your web host about this.