You can obtain a court purposes driving record from any DMV for $12. It will show you everything on your driving record.
You cannot expunge findings of supervision.
There are 2 driving records, the public record, where the supervision will not show up, and the court purposes record, where it will show up for a few years and then be purged automatically unless you get a lot more tickets. your employer or insurance company is only going to see the public record because supervision does not count as a conviction.