For the two months it ran, there was an organized government [0] (conseil de la Commune) which made decrees, there was an army of ~200,000 soldier [1] and there was a Jacobine police which assassinated many people (including other "Communards") without trials [2].
This radicalization in a very short time (two months) was denounced by many other "Communards" and people like Victor Hugo [3]
[0] https://en.wikipedia.org/wiki/Commune_Council_(Paris)
[1] https://en.wikipedia.org/wiki/Paris_Commune#National_Guard_t...
[2] https://en.wikipedia.org/wiki/Raoul_Rigault
[3] https://en.wikipedia.org/wiki/Victor_Hugo#Political_life_and...
Citation:
Victor Hugo was harshly critical of the atrocities committed on both sides. On 9 April, he wrote in his diary, "In short, this Commune is as idiotic as the National Assembly is ferocious. From both sides, folly."
Yet he made a point of offering his support to members of the Commune subjected to brutal repression.
See also: https://en.wikipedia.org/wiki/L%27Ann%C3%A9e_terrible