Translation:Are you familiar with her computer?
Looking up the word on the NAVER Korean-Vietnamese dictionary, I get the sense that the word has the nuance of intimate familiarity. (“I know it like the back of my hand.”)
It gives 3 definitions:
- 熟知한 일 (something well-known and familiar)
- 親하게 되다 (to be close or intimate like a family member)
- 잘 아는 / 익熟한 (well-known/familiar)
Although it does not list the Chinese etymology of the word, it is one of the easier ones to deduce based on the sound: 慣熟.
- 慣: habitual, accustomed to, used to
- 熟: familiar, well-acquainted
This is a guess, however, as 熟 gives thục in all the dictionaries I have consulted. Thuộc gives a completely different character which may or may not be the actual source of thuộc.
In any case, this seems to be used in the same sense as Italian conoscere or Spanish conocer in contrast with sapere and saber.