No a 6 week old baby shouldn't be given cereal this young and certainly not in the bottle or by spoon. Firstly the digestive system isn't ready to accept cereal and more importantly the baby has to be able to swallow properly. At 6 weeks they can't swallow cereal. Things haven't changed as far as, when to introduce cereal and its not 6 weeks.

Regarding sleeping - its normal for babies to wake up and the caregiver needs to find out what they need - maybe a bottle, diaper change or soothing/cuddling. Waking up doesn't mean they need cereal. Cereal also can't go through the nipple and may clog it. The parents need to tell the pediatrician and I'm sure they wouldn't approve. When the baby's old enough, the cereal needs to be introduced gradually and afterward veggies are introduced before fruits. If you introduce fruits before veggies they won't like the veggies. She shouldn't be putting cereal in the bottle