テラスハウスは見ず知らずの６人の男女が共同生活する様子をありのままに捉えたリアリティー番組です。 I would say your translation is accurate, but not natural. If you want to say it more naturally, this is one of the options.

There are a few words here and there that are added in to help in the flow of the translation, but that is the gist of what it says. A more direct translation would be something like: "Terrace House is a record of the communal living conditions of 6 strangers (male and female)." As this sort of translation does not flow well and is too direct, I imagine it was changed slightly for that reason. It's interesting to see how differently two languages express the same idea.

「テラスハウスは見ず知らずの男女６人が共同生活する様子を視聴者が観察する番組です。」 が自然な日本語です。