Oculus has made many apps available that will playback equirectangular content. Download your content in equirectangular format from the My Media section of your account on the Bubl Cloud platform. Once you have this file, you can utilize any number of apps to view it by simply uploading the file to one of these apps:
Alternatively you can upload your content to YouTube and use YouTube 360 with the Oculus Rift. Please see Uploading Bublcam Videos to YouTube.