It’s correct, but depending on the context it may look inappropriate. If it is just a statement about the woman then ‘and’ would be more appropriate rather than also. Because when you put ‘also’, mostly every one expects something different after that but selling apples and oranges together is usual. what I mean is it’s more suitable when you put ‘also’ in sentences like “The woman who sells apples also sells fish” .

Maybe if the context is like “No, you don’t have to go to another stall for oranges. The woman who sells apples also sell oranges.” looks appropriate. I hope I made it clear.