I’m looking to purchase a Mac, I was curious what I should look for graphic wise.

Will blender work with an Intel HD Graphics 3000 with 384MB of DDR3 SDRAM

Blender work with HD 3000.
Hi, it looks you are speaking about a Mac Mini, these things are toys for 3D work.
Even the smaller iMacs are not suitable for heavy work on CPU or GPU, they use laptop hardware too.
May you can get a older MacPro these are still powerful systems.

Cheers, mib