would this sentence be He can cook wonderful without following the recipe. or? He can cook wonderfully without following the recipe.

second one

It should be wonderfully because you need an adverb. Hope I helped =D

Wonderfully. This is because wonderfully is an adverb (ends in -ly) and so describes HOW something does what it does.

i know its the 2nd one i just finished doin this kind of stuff! hope i helped! good luck!