I had cataract surgery in both eyes 10 or so years ago. My choice of lenses was a little unusual, because I had been using monovision contact lenses for a number of years before that. Monovision contact lenses means that you wear a lens for near vision in one eye and a lens for far vision in the other eye, so that you can see both near and far without wearing reading or distance glasses. I liked the monovision contact lenses, so the doctor said he would use them for the internal lenses as well. He said he wouldn't have done that unless I was already using them, because not everyone likes them, and they would be hard to change out after cataract surgery.
I like them even better for internal lenses than for contact lenses, because I see better in general, and of course no longer have the slight discomfort and trouble of wearing contact lenses. My left lens, which is my distance lens, has gradually improved over the years until it is now 20/20, and I can read the tiniest print off the reading chart with my right lens.
For years I put a supplemental contact lens in my right eye to shoot the bow, but in the last few years I have not used one. My right eye, which is my dominant eye, picks up the arrow, and my left eye picks up the target. When I shoot left handed, I assume my left eye does all the work and my right eye is just along for the ride. I'll bet I’m the only one in the whole world who aims that way, but it works for me.
I would not recommend bifocal lenses. I tried them in contacts, and didn't see very well near or far. The doctor said if I wasn't happy with them in contact lenses, I probably wouldn't be happy with them in internal lenses either. I did wear bifocal eyeglasses before the cataract operation when I wasn't wearing contact lenses, and those worked fine, but with bifocal glasses you're either seeing near or far; not trying to do both at the same time.
If the only consideration were archery, picking lenses that corrected for distance only would probably be the best option. The only disadvantage would be having to wear reading glasses, but most people have to do that anyway as they get older. In my case, I picked a distance lens that didn't totally correct my distance vision, rather than one that would give me 20/20 vision right away, because normally as people age their eyes shrink and distance vision improves a little. This is a crap shoot though, and not everybody is going to be as lucky as I was to grow into 20/20 vision over time.
Regardless, everybody I know that has had cataract surgery has been happy with the results, so it is a good thing to look forward to.