tā yǐjīng gěi wǒ tā de diànnǎo le.

She has already given me her computer.

Breakdown of tā yǐjīng gěi wǒ tā de diànnǎo le.

• 的de: possessive particle
• 她tā: she
• 了le: perfective particle

Questions & Answers about tā yǐjīng gěi wǒ tā de diànnǎo le.

Do the two instances of 她 refer to the same person? How do I avoid ambiguity?

By default, yes: the first 她 is the subject (she), and the second 她的 means her (own) computer. If you want to make it crystal clear that it’s the subject’s own computer, add 自己:

• 她已经把自己的电脑给我了。 = She has already given me her own computer. If you meant another woman’s computer, context or a name is used:
• 小王已经把她的电脑给我了。 (The possessor is some other “she” known from context.)

Is 已经 necessary when there is 了? Can I drop one of them?

• 了 marks a completed event or new situation.
• 已经 adds the sense of “already,” emphasizing timing. You can use either alone, but they’re often used together:
• 她给我她的电脑了。 (Completed event; no emphasis on “already.”)
• 她已经给我她的电脑了。 (Completed event, with “already.”)
• Using 已经 without some completion/result marker often feels unfinished if it’s a standalone sentence: 她已经给我她的电脑 (sounds incomplete unless followed by more). So keep 了 or add another result.

Can I drop 了 here?

Not if you want to assert the transfer has been completed. Without 了, the sentence can sound incomplete or like background info requiring continuation. Acceptable alternatives without sentence-final 了 include:

• Use verb-了: 她已经给了我她的电脑。
• Use a resultative or clear time marker: 她已经把她的电脑给我了 (still ends with 了), or add context like …，所以我现在在用。