In a stand mixer or using a handheld mixer, beat the heavy whipping cream, vanilla extract and blue gel food coloring until stiff peaks form.
Add in the sweetened condensed milk, beating on low until combined. Add additional blue food coloring to get your desired shade of blue.
Fold in the chopped oreos and chopped cookies. Transfer the ice cream to a loaf pan, 8 inch cake pan, or similar container. Add additional oreo and cookie pieces on top. Cover the pan with plastic wrap or a lid and freeze for at least 6 hours, overnight is preferred.
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Notes
I recommend using gel food coloring, not liquid food coloring. The gel food coloring may temporarily stain your tongue when eating the ice cream. You can always make it without the food coloring if you prefer—it’s not quite as fun, but it's just as delicious!
Store Cookie Monster Ice Cream tightly covered in the pan for up to two weeks.