Android does not have support for mysql databases. For that you could put the database on a server and access it via http.
However, android does have native support for sqlite3. If you need to store the data on the phone, that's what you'll want to use. Sqlite is a pretty standard database suite, so if you know mysql you shouldn't have a problem picking it up. Google for "Android notepad tutorial" to get the source for a simple notepad app created by google specifically to teach how to use sqlite on android.