If she will allow you to do so, yes, it's perfectly okay. Just in case, have a styptic pencil (or styptic powder) at hand, as she could easily bleed out if you cut into the quick. And then be very sure you don't need to use it. If you cut into the quick even once you'll give her a phobia of having her claws clipped. As long as you're cutting through the transparent part of the claw you're safe. Where it begins looking less see-through is where the quick begins.
I would just cut the very tips of the nails, a very little bit.
Over time (several weeks, maybe months), as you and she get used to cutting her nails and you both figure out how restive she might be while you are trying to trim them, then I'd trust aiming the cut a bit closer to the quick. Trimming nails is a lifetime thing, so I'd build up the success and habit of the event in a slow way with a kitten.
Yes trim her nails regularly! If you don't feel comfortable doing it, take her to a vet clinic to have it done. Right now is the time to get her used to having it done, also keeping them short will help you and your furniture from getting torn up. I trim my kitten's every time I see one that is at all long. You can look up instructions on how to do it properly without getting the quick. You will probably need a helper to keep her still. When I do my boy's I do it when he is super sleepy and then he doesn't care.
It's a great habit to start young; tipping (as suggested by PushPurrCatPaws) removes the hook/needle like end of the nail and they won't get caught on things (saves wear and tear on you as well). It also encourages them to strop, so have a cat scratcher or a sisal pole available for vigorous expression!
We trim our 6 every other weekend (I hold, hubby clips), and just in case, we keep no bleed/tincture of ferric chloride at hand (in the many years of doing this, we've only needed it twice and it works quickly/effectively). Biggest fear (beside bleed out) is infection when those little paws are digging in the litterbox.
If you're unsure/uncomfortable, clip just enough to remove the hooks and have your vet walk you through it on your next visit.