The phrase "to lead to a cure" means to work towards finding a solution or an answer that can help solve a problem, particularly in the context of medical research. Full definition
We are honored to help provide funding for this annual cycling challenge in hopes that it will ultimately lead to a cure for cancer. (edwardjones.com)
A better understanding of insomnia won't necessarily lead to a cure. (newscientist.com)
The hospital opened in 1913 to treat tuberculosis patients and was the site of the first clinical trials for the hydrazides treatment that eventually led to the cure of the disease, according to the EDC. (dnainfo.com)