How fun! I think infants are my favorite age group. They require a lot of time & attention due to the frequent feedings & diaper changes, but those baby snuggles just warm my heart! The newborn phase goes too fast! I can't really think of anything specific to ask mom. I've found with really young babies some mom's are more nervous about leaving them. I usually send mom a pic each day for the first few days just to reassure her that baby is doing well. I think when they're that little it's a lot harder on mom than it is on the baby.
I pretty much just follow baby's cues when they're that little. Eat, poop, sleep, poop, sleep some more.
Congrats on the new client & enjoy the little one!!