You might want to spend quality time together simply helping your child become aware of her community. Some ideas are:
- Taking walks or local "adventures" to grocery stores, pet shops, garden centers, discount stores, restaurants, lakes, etc,
- Talking about e-v-e-r-y-t-h-i-n-g you observe together, as this helps build vocabulary,
- People-watching (including observing behavior, emotions, and moods),
- Taking photos, collecting souvenirs (from leaves and pebbles to business cards), then putting them in a box ("treasure chest") or scrapbook to review, sort through, talk about, and reminisce on other days.
As already mentioned, some of the behavior exhibited by your child may be related to ASD (or not). The CDC has a lot of information online; This
CDC webpage on ASD may be a good place to begin researching, in the event your child and family may need assistance in learning to live with ASD. DSM-5 Diagnostic criteria
here.