There are lot of things to explore in auroville. Explore the entire auroville and if any workshop is going on for a day you can even participate in that. Visit their website before you go there.
Visit the Mantrimandir
Visit Auroville Beach
Auroville Botanical garden
Shopping in Auroville Market
Best Cafe hopping
Recreational activities like Yoga, Sculpting etc
Check my Tripoto blog " Mini Goa" or "Solo traveller" for more information!