In a medium bowl, toss chopped strawberries with lemon juice and 1/4 cup sugar. Cover and refrigerate for at least an hour.
In a large bowl, beat eggs until light and fluffy, about 2 minutes. Slowly mix in remaining 3/4 cup sugar. Mix in the milk vanilla, and refrigerated strawberries and juice. Gently add heavy cream. Do not overmix.
Add the combined ingredients to the ice cream maker and follow directions according to manufacturer.
Add Nutella to a small bowl. Heat in microwave to thin, 20-30 seconds. Slowly pour into the ice cream maker in a thin stream about 5 minutes before ice cream is done churning.
Place ice cream in a freezer safe container, cover, ad freeze to harden and allow flavors to develop, 8 hrs-overnight.