in that you will be up and able to walk just about as soon as you get out of surgery. Your pain will be much less than it would be with regular cut-em-open surgery, and that's great.
BUT remember that no matter how "gentle" or "non-invasive" your surgery, the actual surgery, feels, you will still have had major surgery. Don't be seduced into doing more than you should by the fact that you won't have a big surgical wound to heal. Expect to feel tired, more tired than you think you will, and, frankly, getting your groceries into your house is the last thing you need to worry about.
Plan on spending a lot of time sitting and resting, napping if you can. No matter how untouched the outside of your body will look, inside it's just the same as if you'd had old-fashioned surgery, and treat yourself accordingly.
Before surgery, make sure you have enough clean underwear and socks for at least a week. If you have time, cook and freeze some easy-to-heat up meals, or buy a lot of cans of hearty soup or frozen entrees. Do you have enough toilet paper to last a week or two?
And don't rush yourself into doing more than you should, whether you feel like it or not. Be guided by your doctor about when to increase your activity level.
You really won't have recovered from this surgery for at least a month; don't be surprised if you have days--even when you've been feeling well--when you just don't want to get out of bed.
There is good news in your post--your cancer is stage 1, which is great (if you have to have cancer at all), and a hysterectomy will remove it all, and that's wonderful. You're going to have the most up-to-date kind of surgery, so much better and safer all around than you would have had even 10 years ago. You're going to be fine--in time.
I've had two kinds of cancer and a couple of laparoscopic surgeries (hysterectomy and nephrectomy), and I know you're going to do well.