That is a very broad topic. We can help you better if you have specific questions.
If you have never converted any Access application to any RDBMS, you are probably going to be disappointed with the results of a strait conversion if you haven't used good client/server techniques. But try it and we'll see how we can help.
I've never used MySQL but they might have a way of directly importing the Jet/ACE tables and creating the MySQL database for you. Looks like this might be it --
How to convert Access to MySQL? | DBConvert
Another option:
Access To MySQL (bullzip.com)
There are other tools also. My personal preference is to actually PAY for tools I use. When tools are "free", YOU are the product and I don't trust them with production data. Who knows where it gets sent?