Yes, it will. You can swap the default card with your local SIM card wherever you are and use the device without limitations. 
For third party SIM cards, you need to enter APN. You'll have to obtain APN from your SIM card provider.

MM1/MM5 and MM2/MM6 Devices, as well as our SIM cards, support different regions so please check corresponding support articles to see if the device works in your home country (or destination country if you are heading abroad).