In Russia under Catherine II (Catherine the Great) there was surprisingly quite a bit of accurate reporting about the events taking place in Paris (also in the new United States, although that isn't part of the question) until late 1790. Catherine saw herself as an Enlightened autocrat, and part of her policy was the loosening of censorship in written works and in the media. The publication of around 112 works from people such as Voltaire and Montesquieu was completed by the Translation Society, which she sponsored, for example.

In the media, the loosening of censorship also took place. In 1789, the Declaration of the Rights of Man was published in No. 74 of the St. Petersburg Gazette. Articles were written that described the violent peasant unrest, the seizing of the royal apartments in Versailles, and debates from the National Assembly could all be found in newspapers. For a time in Russian bookshops, French Revolutionary propaganda (pamphlets, leaflets etc) could be purchased. There were several different newspapers reporting these events, the previously mentioned St. Petersburg Gazette and the Moscow Gazette were acting independently.

The shift towards an even more violent revolution was where Catherine drew the line. She is an interesting figure because of how the Enlightenment ideals she held clashed with what was best for her rule. In 1791, the Academy of Science was directed to systematically censor news from France that mentioned revolutionary activity in a positive way. The full censorship of all written works was re implemented by 1796.

Source: Isabel de Madariaga “Catherine the Great”, excerpt from Enlightened Absolutism: Reform and Reformers in Later Eighteenth-Century Europe by H.M. Scott

Also Reinterpreting Russian History; Readings 860-1860s compiled by Daniel Kaiser and Gary Marker