It is better to use PicassPicasa Web Albums instead, if you are intersered ininterested. You don't need to download and upload all photos. However, there isn't anything matching exactly with your request in Google PlusGoogle+ at the moment.
The another way is using Google Drive to store your photos in the cloud, and the non-Google alternatives are Dropbox, Box and iCloud Drive.
Also you can use the new photo services from Google, like Google Photos, Google+ Photos, and Picasa. And don't forget services other than Google, like iCloud Photo Library. You can easily add photos from Google to iCloud, or the better way is to ask the person who shared the picture to share them with you on iCloud Photo Library, if both have iOS or Mac devices (iOS 8+, OS X 10.10.3+).