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Gog: Purchasing gifts via Credit/Debit Card is not yet enabled on this account - these security measures are automatically lifted two months after completing any purchase, regardless of the payment method. Please keep in mind that you can always purchase gifts through another payment method.

-- Can someone tell me why a new user can buy anything via CC except gifts? Two months is too long and new users may miss some titles (purchasing them as gift).
This question / problem has been solved by Grargarimage
Fraud, and tons of it.

Scammers create a new account, buy codes with a stolen credit card, then sell the codes on G2A and other sites and stick the rightful credit card owner with the bill... which then then charge back to GOG when they find out.

So GOG doesn't let new users buy games as gifts with credit cards.
There has been a lot of fraudulent activity involving gift codes bought with stolen credit cards. Said codes were then re-sold on other sites like G2A, causing GOG a lot of trouble.
The others above have already given you the answer, but here is also the response from the staff members, as well:

We've recently faced a significant number of fraudulent transaction attempts with stolen cards. It's a serious issue for us, so to combat this we just introduced a new form of fraud protection during gift checkout.

Starting today, purchasing gifts via Credit/Debit Card will be limited on new accounts. The security measures will be automatically lifted two months after you complete any purchase on your account, regardless of the payment method used.

Gifting via all other payment methods will not be affected. So you can make any transaction with any payment method, and two months later you'll be able to start gifting with your Credit/Debit card. If this applies to your account, you should see the following message during checkout:

"Purchasing gifts via Credit/Debit Card is not yet enabled on this account - these security measures are automatically lifted two months after completing any purchase, regardless of the payment method. Please keep in mind that you can always purchase gifts through another payment method.

If you have any questions or concerns, our customer support team is ready to help."

Source: http://www.gog.com/forum/general/blocking_users_clearing_chat_and_new_fraud_protection/post1

If you really want to gift someone, but can't wait two months, I'd suggest contacting support and see what they could do for you.
Post edited November 17, 2015 by Grargar
I got my answer. Thanks guys for the info and details.