My Book Live appears to be like the My Cloud products and basically acts as a private cloud. Cloud being on your drive, not actually “out there” in the cloud, but you can access it from anywhere.
There’s an app for it that will let your phone access the cloud storage. Looks like the NAS can also sync to public clouds as well (Dropbox, etc). Plenty of apps on Android for those.
http://www.westerndigital.nl/en/products/products.aspx?id=280#Tab8
Aside from the cloud feature, the above mentioned Explorer app and similar ones should be able to access the shares. Bit more fiddly if you are trying to access them outside of your home network (really you want a VPN connection in for that). The cloud stuff should in theory be more secure from outside and be easier to set up your router firewall, if necessary.