The database is not those forms and such. It's the data? If so, you can export it to application neutral formats which you can import to whatever Mac application you intend to use.
Remember that Access is it's own little world of screens, reports and such and those are not a "database".
I have a database which I have put together using Access 2003. I was wondering if there is any easy way of converting it so I can use it on a Mac that I have? Is there a convertor I can download?