Given that this is in the lesson on jobs and work, does this have a meaning similar to "she is a researcher"? Or what else would the context be? thanks in advance
It just means the person is searching. You wouldn't be able to tell the persons profession from this sentence alone.
One is generally searching FOR something (a job, an apartment, a long-lost brother). Searching on its own? Not so much, except maybe in a sort of navel-gazing meaning-of-life way. Is that what searching here suggests?
She is searching for something unspecified.
"Does she have a job?"
"She is looking."
Seems straightforward to me. :)
You are overthinking it.
She is a researcher. [ = Hun er forsker.]