My vet allowed outside in the garden but of course not outside in the street. But I tend to agree with keeping them inside just to be sure.
She'll probably be sleeping all night in a couple of months time, but all puppies are different
What I would do is to start teaching her simple basic tricks, like sit, stay (don't expect too much with this one, two seconds is an eternity to a puppy) roll over, give (shake) paw, drop(lie down)
recall MOST important, make it a 'game' and treat her when she comes without being called if she's looking at you or already on her way, otherwise make it a short distance to recall (come). Give, as in letting you take her toys etc do immediately reward and give her back her toy. She may also get 'target' your hand, a target stick, peekaboo is another easy trick (my golden oldie has just learned this one).
If she likes a ball, then fetch is another one. Of course, don't throw the ball too far and don't expect miracles, she may or may not 'get it' but it's fun trying
Some dogs are just not 'into' fetch, my Zeus isn't but his late sister loved it.
Don't push her, let her learn at her pace and of course, reward like crazy and praise like crazy. You'll be amazed just how much and how quickly puppies can learn new tricks.
I've started, with puppies we bred (by accident rescue dog already pregnant) from the moment they opened their eyes to train them. Very easy peasy though, more fun and play but still training, like not to be too mouthy etc. It's amazing how such tiny, young puppies learned simple, easy tricks.
Big thing, work with her, watch what she can do easily, don't put strain on her legs or back at this age, and above all make it FUN FUN FUN.
Oh, I would also start to train her to loose lead in the house, so when she's allowed out she'll already know how to behave on the lead.
Puppy school is such fun, I missed it with Ra Kismet, by the time they had enough puppies he was 'too old' LOL at his age too old!
You're both doing really well, keep up the good work, and do post some more pics of her growing up please