Actually, the grapes aren't really seedless, they have a genetic abnormality that causes the seeds to arrest development. So the flower is pollinated and the ovum fertilized, like normal, but the seeds stop growing after a few weeks, get absorbed by the fruit and exist as those tiny black specs you inside the grapes. In the 80's, it was discovered that these little seeds could be grown in either a petri dish or a test tube and cross bred with other seedless strains resulting in offspring that is 50-100% seedless.
Before they were just using a traditional method of cross breeding a seeded female plant, with a seedless male, but this only yielded offspring that was 15% seedless.
One downside of the genetic abnormality shown in the seedless grape is the fruit tends to be quite small so commercial growers usually treat the plants with a growth hormone called gibberillin, which is normally secreted by developing seeds.
And there you have it.