Push out the plastic grommit located in the windshield wiper mechanism through behind each latch. Carefully insert a screwdriver through each now open hole and lift up on latch tang. Each side will require a different length screwdriver. If yours is already broken, I would check out a friends C3. It is quite easy once see how every thing is located and opperates.
== ==
Mid-America Motorworks sells a tool for this.
buy the special tool from ecklers that works thru the front of the door opening
== ==
The hood for a 1976 Corvette is not the same dimensions as a 1980 despite their similarities. Modifications can be made to the hood to make it work but it will not look factory.
There are hood tools. But if it is stuck, you might have to jack her up, remove the wheel, and back fender skirt. Then the fun begins. If it is broken at the hood connection, you will have to bend a metal rod to reach, and pull.
HOW DO I OPEN HOOD ON CAR WHEN CABLE IS BROKEN
There's a special tool that'll release the latch by sticking it in between the hood edge and windshield. Any Corvette shop or even a dealer should have this. I've seen it advertised in Vette parts catalogs.
how to open hood with a broken cable on a 1994 ford explorer
dodge truck broken hood latch
If the cable isn't broken then you shouldn't have any issues opening the hood...
There are several companies specializing in Corvette parts. Most of them have available a devise that you install through the driver's door top hinge opening to open a hood that has a broken or stretched cable. Check it out, as they run only about $25.