I just wanted to add in that between my first CP (Spring 02) and my last one ( last fall, Fall '05) the opportunity for networking has increased dramatically. The Disney Learning Centers (formally Centers of Excellence) have put together a series of networking opportunities for Cast Member to take advantage of. Two of these events they hold are Career Incites and a Speaker Series.
Career incites is where they get a leader from some department to hold a semi-informal presentation about what they do, how they got there and they offer advice on what is the best way to obtain a role like theirs. And at the end of the 3-4 presentations I went to they were more then happy to stick around and answer any questions that anyone may have and give out their contact info if there are any more questions (or if you wish to continue to network with them).
The Speaker Series is some what the same thing, but its a bit more formal setting with some of the more higher ups in the Parks division.
These two events happen almost weekly somewheres on propriety (in a conference room in one of the parks or hotels). If your going on the program, watch for the Learning Center monthly calender (which the CP will mail to your apartment, or you can pick it up at any career center or on the cast portal)
But like with anything, you have to make the effort to attend these events and introduce yourself to people. The program/company will not do this for you but most managers and other leaders are more then welcome to sit down and talk with you and connect you with people they know in the parts of the company that interest you.