An online/phone SMC friend of mine who is a La Leche League leader just tipped me off to this.
Apparently it's way more comfortable for the baby and for the mama. An all around win!
In a nutshell, instead of having to sit up and pull the baby to you, mama is encouraged to lean back and drape the baby's body over hers, maintaining that tummy-to-tummy contact. All that contact makes baby feel more secure, and thus more able to focus on the task at hand with less fussing, and mama gets to lean back and relax.
Here's some more information for anyone who is interested. (This isn't necessarily the best link out there, it's just one I tried that seemed to do a good job of summarizing the topic.)
Laid Back Breastfeeding
(Not my baby. She hasn't been born yet. Hopefully very soon!)