I agree with Melanie, when we brought Katie home as a baby, we left her in her carseat on livingroom floor and let the dog have some time sniffing the baby over. Same when I was feeding the baby or just having a cuddle, I let the dog sniff if she wanted to, so she didn't feel pushed out.
I think there's more chance of a dog feeling resentful if it's pushed away and not allowed near the baby, dog is going to wonder why all their cuddles and attention has suddenly stopped and been transferred to this little noisy thing that has arrived home, especially if it's the first child and the dog has been your baby before this. After all you wouldn't stop an older child from coming near a new baby, you would encourage them to have a look so they could get used to having new baby around.