Mine did the same thing last week

I bypassed the lines temporarily until I have time to replace the core. You can do it the right way, pulling the whole dash and air control box out, or I found an easier method that looks like it will take alot less time here
http://z32.wikispaces.com/Heater+Core
To bypass it temporarily, get a 2ft heater hose ( 3/4" inside diameter ) and some hose clamps and run it between the feed and return pipes coming out the back of the engine after removing the existing hoses running to the heater core pipes in the firewall. Keep in mind, you wont have heat this way, lol.