MS Access isn't free and it's the only program that can read and work with .mdb files.
I'd export the list from MS Access to a format that you can read and write with a free program. Let me suggest that you export to .xls format (that's a spreadsheet) and use it in LibreOffice Calc (that's a spreadsheet program).
Java is free, but only install it if you need it. Most people don't. But maybe you're the exception to the rule. Anyway, you're the only who knows, so we can't answer the question if you "have to" install it.
I have a cd collection list that I created with "Microsoft Access" a few years ago on my Windows Vista Desktop. It is a "Microsoft DataBase (MDB)" file (I think the "Microsoft Access" is part of "Microsoft Works"). I can open the cd file on the Vista desktop. I now own a Windows 7 desktop and a Windows 8 desktop and I copied the file to them but I can't find a free program to open it. I believe Microsoft may still offer " Access" and/or "Works", but I can't afford them. Can you recommend any free reliable downloads? Also, do I have to install JAVA on the computers and if so, is there a free download for JAVA as well? THANK YOU!!!