My child's grandma is custodian for an account. If determining if I need to file, do the Proceeds or Net Gain (after Cost) reported on the 1099-B count toward her income?

My child is <10 years old. See attached 1099 summary. 1099-DIV shows ~$569 and 1099-B summary shows $0 in profit, so I originally assumed I did not have to file a separate tax return for my child.

However, the Summary of Proceeds, Gains & Losses is confusing. This shows Proceeds of ~$6,500 with a Net Gain of $875. Do I need to add either of these to the $569 to get her total income? If so, I believe I would need to file a return for her.

Second question would be: If a separate return is NOT necessary, am I right to assume that none of this information needs to be included on my tax return?