Article 122 states that "women in the U.S.S.R. are accorded equal rights with men in all spheres of economic, state, cultural, social and political life."
[3] Specific measures on women included state protection of the interests of mother and child, prematernity and maternity leave with full pay, and the provision of maternity homes, nurseries, and kindergartens.
[3]
Article 123 establishes equality of rights for all citizens "irrespective of their nationality or race, in all spheres of economic, state, cultural, social, and political life."
[3] Advocacy of racial or national exclusiveness, or hatred or contempt, or restrictions of rights and privileges on account of nationality, were to be punished by law.
[3] Freedom of religion and speech
Article 124 of the constitution guaranteed
freedom of religion, including separation of (1) church and state, and (2) school from church.
[3
en.wikipedia.org
They seemed pretty serious about it. The Wiki article mentions the opposition Stalin had to Article 124, and in the below article they talk about enforcing their bill of rights in the 1977 Constitution: