You can sign in and out of two different iTunes accounts on the iPad but - if the iPad is for your use - since you both have your own computers - I would recommend creating your own Apple ID and iTunes account. This way you can sync to your own computer and she can sync to hers.
Go to Settings>Store on the iPad. You should see your daughter's email address which is her Apple ID. Tap on the email address and a window will pop up that will allow you to sign out of her account. Then you can create your Apple ID and iTunes account.
This article will explain how to create your own account with a credit card.
http://support.apple.com/kb/HT2731?viewlocale=en_US
This article will explain how to create an account without a credit card.
http://support.apple.com/kb/ht2534
The only thing about this is if you bought something already with her account - and I'm speaking only about purchases now - you will lose those items when you sync to iTunes. Any free apps can be downloaded again so no need to worry about those.