Why is my refrigerator leaking?
From GE knowledgebase

Refrigerator - Icemaker Leaking or Dripping Water
If your icemaker is leaking water into your ice bucket or onto your
floor, several things could be the source of the problem. Check the
following items:

Be sure the water line fittings are secure.
Check the water valve for leaks.
See if water is leaking from the fill tube extension.
See if the defrost water drain is cracked or overflowing.
Check for water on the exterior of the refrigerator case.
See if the refrigerator is leveled. How to Level a Refrigerator.

Note: If the icemaker is leaking water onto the floor of your home,
turn off the water supply to your icemaker. This line is usually
located under the kitchen sink. Locate the cold water line under the
sink, and look for a small 1/4&quot; copper line attached to it. Where
these two lines meet, there will be a saddle valve. Sticking out from
this valve will be a post with a wire running through it. This is the
shut-off valve. Turn this valve in a clockwise manner until it stops.
This will shut off the water to the icemaker. If the water line is not
connected under the sink, it will be in the basement or crawl space.

I would check items 4 &amp; 6.
For a clogged defrost drain GE says

Top freezer refrigerators:
Water under the vegetable pans is the usual evidence of a clogged
defrost drain tube. Most top freezer models require some disassembly
to access the defrost drain tube. We recommend that you contact
service. If you would like to schedule a service appointment, please
contact GE Consumer Service at 1-800-432-2737 or schedule a service
appointment
on-line.

Which isn't much help if you want to fix it yourself.
Here is an image of the cabinet assembly

And the unit parts (notice the drain tube is circled).

Images from Appliance Parts Pros.com
WARNING: If you are going to take the thing apart, make sure you unplug it first.