If your daughter is an adult, then the cost basis of a gift is the basis of the giver. The recipient also gets the holding time of the giver. So suppose you bought stock for $1000. You hold it for 2 years, then gift it to an adult child when the market value is $1500. The child sells the stock after 1 week and realizes $1550. The child's capital gain is $550 (going back to your cost basis) and it is considered a long term gain (0%, 15% or 20%, depending on her other income) because the total holding time was more than 1 year.
If the child is a minor, there are special rules to prevent you from taking stock that would be a 15% or 20% gain for you and turning into a zero% gain for a child. I can't address those rules but the other experts seem to have it in hand.
