Learn Hardcore Chinese: tā gāng xiàbān, jiù yòu dǎ diànhuà gěi wǒ le. - She had just gotten off work and immediately called me again.

刚 placed before a verb means “just (recently)” and highlights how recent the action is: 她刚下班 = “She just got off work.”
刚才 is a time word “a moment ago.” It refers to the time, not the manner: 她刚才给我打电话 = “She called me a moment ago.”
刚刚 is basically the same as 刚, a bit more colloquial/emphatic. All three often overlap; choice is mostly style and nuance.

What does the pattern 刚…就… express?

It means “as soon as … (then) …,” emphasizing that the second action happened right after the first. Here: “As soon as she got off work, she (already) called me.” It often suggests a very short interval and sometimes a sense of “so soon.”

What is 又 doing, and how is it different from 再?

又 = “again” for a repeated action that has already happened (past/realized), often with a hint of surprise or mild annoyance, depending on context: 她又打电话给我了.
再 = “again” for future or planned repetition: 明天再打电话给我 = “Call me again tomorrow.” You normally don’t use 再 with a completed-action 了 in the same clause.

Can I omit 又? What changes?

Yes.

With 又: 她刚下班，就又打电话给我了 = she called me again (there were earlier calls).
Without 又: 她刚下班，就打电话给我了 = she called me (no emphasis on repetition).
Dropping 又 removes the “again” meaning and any implied attitude about repetition.

Why is 就 placed before 又? Could I say 又就?

In 刚…就…, 就 sits at the start of the second clause to link it: “as soon as X, then Y.”
又 is an adverb modifying the verb “call,” so it goes right before the verb.
Hence: 刚…，就又 + 动词…. You can’t say 又就.

What is the sentence-final 了 doing here? Why not put 了 right after 打?

Sentence-final 了 marks a new situation or completed occurrence from the speaker’s viewpoint: the call has happened. Two common options:

她刚下班，就又给我打电话了。 (final 了 summarizing the completed event)
她刚下班，就又给我打了电话。 (verb 了 highlighting the action itself) Both are correct; the nuance difference is small in everyday use.

Why isn’t there a 了 after 下班?

Because 刚 already signals a just-completed action, and the first clause is background to the main event. 她刚下班，就… is the natural 刚…就… setup. You will hear 她刚下班了，就… in speech, but the 了 after 下班 is unnecessary here and less tidy stylistically.

What’s the difference between 打电话给我, 给我打电话, and 打给我?

All mean “call me.”

Mainland preference: 给我打电话.
Taiwan/Southern usage: 打电话给我 and colloquial 打给我 (often dropping 电话). All are understood; choose based on region/register. In writing or in Mainland contexts, 给我打电话 is safest.

Can I say 对我打电话 or 向我打电话?

Normally no. The verb collocates with 给 for the recipient: 给我打电话 / 打电话给我. 对/向 are used with other verbs (e.g., 向我表示), not with 打电话 in everyday speech.

Could I use 一…就… instead of 刚…就…?

Yes: 她一下班，就又给我打电话了。

一…就… means “the moment/whenever …, (then) …” and is great for immediate sequences or habits.
刚…就… stresses that the first action just happened (recency). With final 了, both sentences describe a specific past instance.

Does 又 always imply annoyance?

No. 又 mainly marks repetition in the past/present. In many contexts it’s neutral. Depending on tone and context, it can hint at surprise, emphasis, or mild complaint, but that’s not inherent.

Can I replace 刚 with 才? For example, 她才下班，就又…?

Yes, but nuance changes:

才 here means “only just/only then,” often implying “barely.” 她才下班，就又给我打电话了 = “She had barely gotten off work when she called me again,” which can sound more evaluative/complaining. Note: X 时间才 V can also mean “not until (time) did …,” which expresses lateness; that’s a different use of 才.

What does the comma do in this sentence?

It separates the two clauses in the 刚…就… structure. It’s a natural pause: first clause sets the timing, second clause gives the result.

Is this a one-time event or a habit?

With sentence-final 了, it describes a specific occurrence.
For habits, drop 了 and often use 一…就…: 她一下班就给我打电话 = “She calls me whenever she gets off work.”

Any pronunciation tips (tones, sandhi)?

给 gěi (3rd), 我 wǒ (3rd): in 给我, the first 3rd tone becomes a rising tone (pronounced like 2nd): géi wǒ.
了 at the end is neutral tone (le).
Tones: 她(1) 刚(1) 下(4) 班(1)，就(4) 又(4) 打(3) 电(4) 话(4) 给(3) 我(3) 了(neutral). Apply 3rd-tone sandhi as above.

Can I add a measure word, like “one call”?

Yes: 她刚下班，就又给我打了一个电话。
Adding 一个 makes the “one call” explicit. Without it, 打电话 already implies “make a call,” so the measure word is optional unless you want to emphasize quantity.