Joe,

Extract the seeds and dry them out. Then store them in the
refrigerator. Do not freeze them.

You will probably not get the same vine if you plant seeds. The
pollen that produced the fruit could have come from anywhere and any
kind of grape. If you want the same kind of vine, take cuttings.

Wait until the late winter (February) and take a few cuttings off the
vine. They should have 3-4 nodes (joints). Make sure you can tell
which way is "up" on them so they are not planted upside down. Wrap
the cuttings in moist (not dripping wet) paper towels or newspaper,
place inside a plastic bag, and store in the refrigerator. They will
keep for several months.

To do this right, they should be caloused, but if you don't know what
that is then forget it and just plant them in the ground in the
Spring. Plant them with only one node above ground. Keep the soil
moist but not soggy. Plant 4-5 (without calousing) to ensure you get
one that survives. Plant seeds only as a backup.

Jack Keller, The Winemaking Home Page
http://winemaking.jackkeller.net/