how do i see picures on icloud on home computer?

If you mean by logging into icloud.com with a browser, then you can't view your pictures there. You can only view them using an iOS device's Photo app or a mac's iPhoto or Aperture program (not sure how PCs work).

You can view them on the Internet by setting up a shared photo stream.

Read: http://help.apple.com/iphoto/mac/9.4/#pht7a4c765b