Both she and her family are all doing very well.

Literal

She [also-も] her family [also-も] all very well.

The paired も...も construction means 'both...and,' linking two subjects that share the same predicate. げんき is written in hiragana here rather than the standard kanji 元気 — common in casual writing. みな ('everyone, all') reinforces that the predicate applies to every member mentioned.