Hey there, AspiringGamer.
You are right about the drive being formatted differently. It has a different file system which is not supported by Windows. It's probably HFS+ most likely. If the drive is indeed in good condition and working, you should be able to find on the web some 3rd party programs to help you recover the data. You could take a look at that article: http://www.makeuseof.com/tag/4-ways-read-mac-formatted-drive-windows/ or try a different program if you've found one.
When you've recovered your data in order to use the drive with a Windows computer, you should reformat it by using either exFAT or NTFS (recommended). Those file systems are natively supported by Windows (actually exFAT is supported by both Windows and Mac...