is my daughter born in the netherlands will be granted a permanent residence permit like mine?

if you are a permanent resident? then yes she will.

yes please

It may even be worth inquiring if she gets citizenship from being born there!

definitely yes

That is not true. She has a way better chance since you are a resident but everything with immigration is a fight and people that say its not have never had to deal with them. Also even though your a permanent resident you still have to find a citizen to petition for her with you on your behalf.