Eh? No. The Chinese court system was nothing like this. The Japanese Heian court was culturally (and even architecturally) Chinese, but their customs were unique to Japan. The level of sexual independence given to noblewomen would have been horribly mortifying to the Chinese aristocracy of the era, and the level of general female literacy would have been scandalous. Michizane's job is actually one of the most obvious differences. See, he's an imperial scholar whose only job is to be scholarly. He isn't even teaching anyone. He's only reading Chinese literature and philosophy all day and writing commentaries on them. There is no similar position anywhere in the Chinese court system. There were scholars in the court, but they all had civil service jobs to fulfill. The Japanese had this weird occupation simply because they were trying to absorb a foreign culture (unlike in China where everything Michizane's reading was native), so they created a class of people whose job was to "adapt" that culture into the Japanese context.
The major distinguishing factor in the imperial government itself is all the samurai running around with their bows and arrows. In Heian-kyo all security and military personnel were basically nobles and knights (samurai). They didn't have armed commoners anywhere because unlike in China where the imperial clan itself commanded a standing army, in Heian-era Japan the army was composed of the nobles, their serving samurai, and any peasant levies each noble could muster. In peacetime no levies could be mustered, so all the military and police jobs that professional commoner soldiers would normally fill in China had to be filled by nobles and samurai. Because Japan was far more feudal than China, they also had a larger proportion of members of the feudal clans who served as soldiers, unlike in China where military clans (junshi) served only as officers, so this wasn't a problem. Many samurai were serving as basically grunts.