My family donated for me a week before my surgery, but I was anemic (and I did get the two units they'd put aside), and my surgery back then was done "open" rather than laparoscopically (more risk for blood loss, on top of things). But I don't think it's routine to give blood prior to this surgery, unless you're very low or symptomatic.
As a nurse, when I started, EVERYONE wanted a hemoglobin of 10 at my hospital, back in 1994... now, you can be 7.5 and they'll hem and haw whether to give you blood, and may not, if you're not symptomatic. I think they've learned over time that the more exposure to blood products, the more issues because of exposure to other antibodies, etc., so they're less likely to go there right away.