If you have had no other gifts or inheritances in the Class B (briefly, close relation but not parent) since 05/12/1991 you can accept up to €33,500 from your brother CAT free.
Your girlfriend, if she has received no other gifts in the "stranger" class C since 05/12/1991 can have up to €16,750, before CAT applies.
This covers €50,250 of the proposed €60,000. The rate applying to the balance is 30%, €2925.
As you would have exceeded 80% of the threshold, you would both have to make returns and pay the CAT before 31/10/12 if the gift is received before 31/08/12. If received between 01/09/12 and 31/08/13 the return date is 31/10/13.