The square brackets indicate an array of objects, and the FME JSON writer will output them even when there is only a single feature.
The easiest is probably to use the JSONTemplater to generate the JSON contents according to your specification and to write the results using the Text File writer.
Even though I prefer @david_r answer, another approach would be to use an AttributeTrimmer to remove the leading "[" and trailing "]". I wouldn't suggest a StringReplacer as that could break valid arrays in the JSON