Lapping on an uneven surface would be pointless - hence the glass.
Flat is more important than shiny. Do not use any kind of polish. To check flatness, don't check whether you can see yourself cos you ain't that regular. Check the reflection of graph paper - are all the lines in all directions straight?
Also, before you start draw diagonal lines with a pencil across the base, then after the very first minute, see whether it is being removed uniformly or not. If not, your base was not flat to start with. When all the pencil is gone, stop.