If this something you wanna do with C# -
You need to read the schema in access table and create a similar schema in My Sql using ADO.Net.
Then dynamically read each rows in data table either through Reader or adapter and dump the data into mysql.
But, if this operation is only for the first time, I think, it would be better to convert Access database to My Sql using some 3rd party tool -
Few links which could be helpful -
Access To MySQL[
^]
How to import a Microsoft Access database into mySQL by using c#[
^]
Hope this helps
cheers