Yes, BuzzSumo does provide a free option for new users, via the 30-day free trial.

This is now the only free way to access BuzzSumo, as we no longer offer a free plan.

You can check your plan at any time by visiting your Account Settings. 

Free trials last for 30 days or 50 searches, whichever limit you reach first.

For further details on the features offered in each plan, check out the BuzzSumo pricing page.