Depending on the year, original spec was 90 wt gear oil. In '55-56, Chevy issued a service bulletin updating that to a semi-fluid grease, due to customer complaints of leaking at the seals. That grease is NLA. Today the best substitute is NLGI 00 grease, which is semi-fluid and self-leveling. There are a number of alternatives available, but not all have particularly good specs. I've done a bit of research as a result.
Many use the John Deere Corn Head grease, which is NLGI 0, and even though self-leveling, a bit thick, IMO. J-D hasn't published full specs, which makes it hard to assess and compare. Since it is designed for a power-transmission gearbox, it gets fluid with the stirring/heat in that application, which may not be optimal for a steering gearbox. But, results seem OK based on what others report.
Many vintage groups recommend the Penrite Steering Gearbox fluid from Australia. Surprisingly, it has lousy specs - by their own literature it does not meet EP minimums. Other fluids like the Champion "00" marketed by Eckler's and the Super S "00" available from TSC also have specs that aren't great. Turns out that not all greases of the same NLGI grade have the same base oil viscosity, and their consistency is determined by the amount of thickener (usually a Lithium-based soap), not the base oil viscosity.
Others use a home-mix of NLGI 2 chasis grease and gear oil. That can be made with about the right consistency, but may or may not provide good protection, and will be prone to separate. Even others suggest STP, which IMHO, has no place in a gearbox. By my way of thinking, a commercial product is preferable.
Long story short, there are brand-name greases that are NLGI 00 and that have very good specs. I chose Chevron Delo EP 00 grease, which is designed for gearbox applications and has great specs and a base oil viscosity that matches well the original 90 wt gear oil spec for my '53 Bel Air. Shell and Mobil have comparable products. The problem with all of these is that the minimum quantity is usually a 35 pound (5 gallon) pail. There is one fellow who markets repackaged Mobilux EP 023 grease, which has good specs, and is an NLGI 000 (thinner) semi-fluid grease,
Classic & Exotic Services - Mobilux EP 023 Grease, but it's pricey.
If you want more info on the Chevron Delo EP 00 send me a PM. I have excess available since I bit the bullet and got a 35lb pail... data sheet from Chevron is here:
Chevron Delo EP 00 Grease PDS.