It'll change.
It's linked to the network (internet connection)
Edit below:
Although it does depend on what you mean as "IP Address" (complicated)
Your laptop will be given an IP address by your friends internet router. This will be a local address on his network. If this is just a typical home user router, it'll probably be in the range 192.168.0.x (cos that's were most of them are). There is therefore a likelihood that your IP address as seen by the laptop might get the same number.
However, the internet side of things, such as the IP address recorded on the posts you make here, will be linked to your friends Internet Provider's network, not your own.