Yes you can. If you can use mobile data on your phone then putting that SIM into the camera will also give you access to mobile data. Make sure you don't fall foul of your carrier though. They might think that this device is a heavy user of data and if you are on an unlimited data plan they might complain.
Need a sim card if you want to upload pictures to facebook, dropbox, cloud when there is no wi-fi connection. Mine came with sim included so look at what's included. Also I recommend a case to protect the screen.
The camera features a 16 megapixel CMOS sensor and a 21x optical zoom lens, as well as Wi-Fi and 3G connectivity, and a GPS receiver by which the camera can make geotagged photographs. It runs on Android's 4.1 "Jelly Bean" software and it allows for in-camera organizing, editing and online sharing or storage of images and videos. As with other Android devices, other software can be downloaded from Google Play