How can I display my ipad screen on my PC?
if you had an iPad 2 or above, you could use Airplay Mirroring, and then setup an airplay server on your Mac which will allow you to receive a live video feed of the current display.

See this answer, which is actually from a question about recording iPad screen output, which has most of the technical details.

It's not quite the same as "logging in" to your iPad, but the end result is the same.  The difficulty you will probably hit is in being on the same LAN which is a requirement of Airplay, but you could perhaps fix this with VPNs.