This is the first time I've seen this. Snopes tells me that this video is true, not fake. It was filmed in 1967. It anticipates shopping from a home computer, online bill paying and e-mail. Snopes points out something else obvious, but worth saying:
The video exemplifies the common flaw of anticipating technological changes but not societal changes -- the daily life it depicts is firmly rooted in the mid-20th century American model of women as stay-at-home child rearers and shoppers, and men as breadwinners and heads of household. Apparently women in 1999 still wouldn't be up to handling tasks such as banking, bill-paying and tax preparation, even with the help of electronic devices.