Yes, you'll need to register to the promo when you're abroad. To register, just dial *143# using your Globe mobile for convenience. After dialing *143#, choose Roaming & Int'l., Roaming Promos, Data Promos, then choose the Roam Surf variant you want. *143# is toll-free abroad.
Registration via text is also available but note that you'll be charged standard roaming rates for text when you register abroad, i.e., P20 in Asia/Americas and P25 for Europe/Africa.