In NY state, undocumented immigrants can obtain a standard driver's license under the Green Light Law. There are restrictions some of which are: applicants may not use it to obtain a commercial license, may not use it to register to vote, does not provide a pathway for US citizenship.

https://dmv.ny.gov/driver-license/driver-licenses-and-the-green-light-law

There are certain assistant programs non-green card holders may apply for in NY state to receive state aid. Federal assistance programs are much stricter.

As to GOG's 59% stat, it wouldn't surprise me. Undocumented/illegals immigrants are generally speaking low income wage earners, assuming they can find employment and/or are employed. The stats tend to fluctuate over time. And not all site agree with one another. Here is one site:

https://cis.org/Report/Welfare-Use-Immigrants-and-USBorn

"The 2022 SIPP indicates that 54 percent of households headed by immigrants — naturalized citizens, legal residents, and illegal immigrants — used one or more major welfare program. This compares to 39 percent for U.S.-born households.
The rate is 59 percent for non-citizen households (e.g. green card holders and illegal immigrants).
Compared to households headed by the U.S.-born, immigrant-headed households have especially high use of food programs (36 percent vs. 25 percent for the U.S.-born), Medicaid (37 percent vs. 25 percent for the U.S.-born), and the Earned Income Tax Credit (16 percent vs. 12 percent for the U.S.-born).
Our best estimate is that 59 percent of households headed by illegal immigrants, also called the undocumented, use at least one major program. We have no evidence this is due to fraud. Among legal immigrants we estimate the rate is 52 percent.
Illegal immigrants can receive welfare on behalf of U.S.-born children, and illegal immigrant children can receive school lunch/breakfast and WIC directly. A number of states provide Medicaid to some illegal adults and children, and a few provide SNAP. Several million illegal immigrants also have work authorization (e.g. DACA, TPS, and some asylum applicants) allowing receipt of the EITC."

"The Center for Immigration Studies is an independent, non-partisan, non-profit research organization founded in 1985. It is the nation's only think tank devoted exclusively to research and policy analysis of the economic, social, demographic, fiscal, and other impacts of immigration on the United States."



How reliable is this site? In all honesty, I don't know.