I found that this was a very exaggerated claim based on an amendment to an existing anti-hate speech law in Ukraine on Israel's Holocaust Remembrance Day.
I could not find the exact law and legislation released by the Ukrainian government because I don't speak Ukrainian; However, The Times of Israel article provided exact legal titles of the law amended, specific amendments, and the timeline of the law enacted. As for first person evidence the article helped me find, I found the previously unamended law from a file from 2010 Article 161, which is the anti hate speech law in Ukraine that covered anti hate speech (religion, race, color skin, political, sex, ethnic, social origin, property status, etc.). The article also provided the specific amendment (Law No. 2037-IX) that broadened Article 161 to include anti-semitism specifically in the definition of hate speech in Ukraine law. Finally Bill NO. 5110 that amended and broadened anti-Semitism to criminal liability.
I did not find any evidence that any of the legislation passed would prevent political criticism of the Israeli government and its actions towards the people of Gaza. In Article 161 hate speech is defined as spreading speech is discrimination, not providing equality, or insulting/humiliating people on the basis of list in the previous paragraph. If criticism of the Israeli government begins to land people in jail in Ukraine, the Ukrainian government would be in direct violation of their freedom of speech Articles.
The Times of Israel is heavily biased towards Israel. The author mentions his opinion all throughout the article as well as claims without giving evidence on the amount of antisemitism that exists in the broader context. That being said, I still chose this article because the specific legalities were completely backed by evidence with first person evidence of Ukrainian law. Basically everything is named by their legal titles (making everything easy to search and confirm) and much is even linked. The bias may undermine the content/claims of the article but it does not change legal proceedings.
The original BSKY poster did not respond.