I have 2 Mac's both running OS X 10.10.2 Yosomite. I installed the Cloud on one and started using Lightroom but when I installed it one the other my photo library does not appear. I tried syncing files but it says I have no files. How do I access my photo library in Lightroom on both computers?
You would really need a shared catalog and image files on an external hard dive. Then connect the ehd to either machine, as needed.
I personally use a master catalog on my desktop machine and a travel catlog on my Macbook pro. That lets me shoot photos, apply metadata and edit them on the road and when I get home I simply import the travel catalog into the combined master catalog.
This video tutorial from Adobe Evangelist Julieanne Kost gives a demonstration of how to use a travel catalog on-location.