Normal delivery depends on a lot of factors not just based on baby weight. If you are keen on normal delivery discuss with your treating doctor,  they will be able to help you the best.

If you have no risk factors at all and baby is growing healthy you can wait upto 40weeks for spontaneous labour pains to occur. Natural labour or induced labour both are equally painful . Your birth passage should be good, this can only be diagnosed with physical check up. Baby weight more than 3 kg is not indication of induction of labour. Combination of factors we have to think about. Do get NST done at 36 weeks

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if you have pain during induced labour ..there is always anesthesia that will reduce the pain

Baby weight of 3 kg is not a criteria for induction.there must be some other factors for which your obstetrician suggested that. Kindly discuss with treating obstetrician.