I run qgis on all three platforms (Mac OSX, Windows(XP and 7), and Linux (Ubuntu)). @DavidF is correct. Mac can not read .mdb by default because it is a proprietary format that Microsoft is not big on sharing and Apple does not want to pay to license. Installing the mdbtools is the answer to your problem. Be aware, it will not run like it does on a windows based system. Files you pull from the .mdb will not keep their names. instead you will see groups of folders with a number. inside of each folder will be an image file and some form of an aux file as well. You will be able to load these files then "save as" each one out of the .mdb.(I suggest creating an automated work flow to do that and label them as you load them later)
If you run into problems getting the mdb tools working try using homebrew. It took me about an hour to get it up and running personally. After all of that struggle I ask people to export everything out of ESRI databases before they send them to me (PostGIS FTW!) Best of Luck to you.