Each "bud" actually contains 3 buds, primary, secondary, and tertiary. So it is likely you will get new growth again from the same buds, but the tertiary buds are the least fruitful (primary are most fruitful). If you get another frost that kills the tertiary buds you are not likely to get any fruit, but the vine will push dormant buds in other places and so you can get fruit next year, unless they get frosted again next year.

Here is a link that might be useful: Grape Buds