Green wood is a fun thing - like others have said, coat.

Don't plan on a pith line in anything - it will be a hole.

I have turned green wood and taken the 1/4" over size walls
to a drying area to dry slowly.

I have also taken an almost finished green bowl and put it
in a microwave.

afterwards you can shape a hot bowl - at 50% defrost or the like.
shape the bowl into unique non-round shapes. Hand sanding is required.

The precut bowls/cups - are drying faster and need to be slowed with damp rags.
When the rags dry and the bowls dry - (depends on the location!!)
then remount it on the lathe and complete the bowl or cup.....

Richard Raffan "Turning Wood" - video tape workshop is interesting as it is
all wet cutting.

It might help if you search for it - ISBN 0918804566

He has a companion book as well.

Martin