To share a video to a private group only, there are 2 ways:
1. Upload/Download Video as a File
You can upload the video using the "Upload File" feature in the Discussion or Comment section.
Other members of the private group can download the video file and play it on their PC.
Note the video file is stored on iGlobalChinese.com and only the members of the private group can see the link to the file. However, it cannot be streamed and played directly on iGlobalChinese.com. One has to download the video file completely to his/her own PC, and then play it.
2. "Embed" a Video File from Another Site
You can "embed" a video file in the Discussion or Comment section.
This is applicable only in the scenario where there is video file on another site, for instance, a video on YouTube.com, and the site provides the "HTML Embed Code" which you can copy-and-paste into the Discussion or Comment section.
In this case, members of the group can click on the video file and it will be steamed and played directly on iGlobalChinese.com.
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As of now, there is no way yet to upload a video file to a group's Discussion or Comment section in iGlobalChinese.com and have it stream and play directly on iGlobalChinese.com. In the future, this feature is expected to be available, but no concrete time frame is known yet.
With Photos, it is slightly different. You can put the photos in the Discussion or Comment section of a private group, and they will be displayed right on iGlobalChinese.com and be seen by the private group's members. They will not have to download photos to their PC before they can view the photos.