I had a hysterectomy 3 years ago, a year following a bilateral mastectomy. Compared to the mastectomy, the hysterectomy was a walk in the park (after I got over the anesthesia nausea). Are you having a cut, or are they taking it vaginally (which is how they did mine). I've heard that the incision type are MUCH harder to recover from.
I resumed walking within a week, and probably started light workouts (like Bar Method Beginners) within about 3 weeks.
I have been on an anti-estrogen drug for breast cancer for almost 5 years, and I've probably gained around 8 pounds from before I started taking it. Its really hard to lose weight, but I didn't experience any horrific weight gain.
I think you might experience pain and fatigue while your body is recovering, but other than that it's not too bad. I guess my experience might be different than yours since I'm on other medication.
Hope this helps. If you have any other questions, please ask. Please don't be afraid of this procedure