Can I get Microsoft Windows Explorer on my Mac Book Air

Explorer for the Mac was discontinued by microsoft many years ago.

If your employer has work that cannot be done without that program, I suggest you look for another job right away.

You can't run Internet Explorer on your Mac but you can run Windows, either as a virtual machine using VMware Fusion, Parallels or Virtual Box and run Explorer in that at the same time you're using your Mac OS, or in BootCamp, which lets you run Windows or Mac OS X but not at the same time.