Let's be pedantic here for a moment. Your laptop doesn't actually connect to Sky broadband. It's only your router which does that (and only when connected to your home phone line - it wouldn't work if you connected it to your next door neighbour's phone line).
Your laptop can connect to any available Wi-fi network. At home it will connect to the network created by your router. If one of your neighbours hasn't properly secured his network, you can also connect to that (even though it's actually illegal to do so). When away from home (anywhere in the world) you can also connect to any available wi-fi network. That might be a network provided (either free of charge, or for a fee) for the use of guests within your hotel. It could be a free network in, say, a MacDonalds café, or it could be a 'pay for use' network elsewhere. Connecting via Wi-fi in such locations won't require any extra hardware (such as a USB dongle). If your laptop can connect wirelessly to your home router, it can connect to other networks as well.
Totally separate to 'Wifi', there's also the possibility of connecting via '3G'. Instead of using a purely local network (e.g. in a hotel or café) you'll be connecting to the system available from mobile phone masts. To do so, you'll need to buy a USB dongle. While it's possible that some UK-purchased dongles might work abroad, the charges would be extortionate. You would need to purchase a dongle locally. (3G availability is a bit patchy in the UK, with around 80% of the country having coverage. Googling suggests that there's a reasonable level of coverage in the Philippines).
Chris