In Arabic, present simple and present continuous both have one form. It's called
المضارع
In this case, it's أستيقظ.
And you understand which tense the speaker means from the context.
For me, I can't think of a ontext where one can use this verb in the continuous form. This is because the action of waking up usually happens in a moment.
Therefore, I think the verb in your sentences will mostly be in the present simple tense. Of course, if you give us a context, this will help us answer your question better.