You can find the unanimous ruling here.
For an argument that the Supreme Court need not read 19th Amendment requirements as onerous as claims under the 15th amendment, see Thin and Thick Conceptions of the Nineteenth Amendment and Congress’s Power to Enforce It, 108 GEORGETOWN LAW JOURNAL 27 (19th Amend. edition 2020) (co-authored with Leah Litman for symposium on 100th anniversary of ratification of 19th Amendment)