Questions & Answers about Я жду такси уже полчаса.
Because Russian does not have a separate tense for I wait vs. I am waiting.
The verb ждать is imperfective, and its present-tense form я жду can mean:
- I wait
- I am waiting
So in this sentence, я жду naturally means an action that is happening right now.
The dictionary form is ждать = to wait.
Жду is the 1st person singular form, so:
- я жду — I wait / I am waiting
- ты ждёшь — you wait
- он/она ждёт — he/she waits
- мы ждём — we wait
- вы ждёте — you wait
- они ждут — they wait
So жду simply means I wait / I am waiting.