You don't need Microsoft word. There is a free open source office suite called Libre Office, and it is cross platform, which means your can run it on Linux, Windows, or Mac. www.libreoffice.org
You can download it and install it on whatever OS you are running to test it out. A lot of the Linux software has been ported to Windows and Mac.
As for running Microsoft software on Linux.......that's a hit and miss area. Linux has windows API's if you install a software program called "wine" but it is a pain to set up, and doesn't run everything. In Linux it is best to stick with the open-source version of whatever software you want to run.
Of course, running Linux software on Windows is completely miss. There is no hit there. Linux can run a lot of Windows software, but Windows won't run an once of Linux software. You can install a machine emulator in windows, and get it to run Linux, but that isn't the same as directly running the software.