There are methods of launching homebrew on the GC, such as using an Action Replay and the cheat code "SD Load" or something like that and an SD Gecko.
Or you can use the "GC Homebrew Launcher" from Datel (same people who make Action Replay) : [
uk.codejunkies.com]
Or you can use a modchip, or there is I think an exploit for Phantasy Star using the Ethernet adapter (probably the most complicated method).
Easiest is probably "GC Homebrew Launcher"