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The speaker is saying (https://youtu.be/nhTcuUvLGOE?t=464)
The best way to practice is to record yourself speaking. You could record yourself answering these two questions. Then, listen to yourself.
I feel that the sentence highlighted is not grammatical, then I rewrite it as the following
You could record yourself when your are answering these two questions.
or
You could record your answers to these two questions.
Is my understanding right?
The original sentence
You could record yourself answering these two questions.
may be grammatically correct but you could add the conjunction "while" and say:
You could record yourself while answering these two questions.
You use while for ongoing actions and when for actions that occurred at a specific point in time.
The difference between when and while (from another ELL SE answer):
The main difference between these two words is that when usually means at or immediately after some specific point in time, whereas while always means during some [usually, extended] period of time.
Here's another example from Pearson English:
Before we realized it, we saw a deer running across the road.
but you can add "while" before an incomplete action:
Before we realized it, we saw a deer while it was running across the road.
