It depends on the sentence and how you structure it. What is the full sentence? "I can dress myself, thank you." "I can get dressed myself, thank you." I would say get dressed is used most often but they are both correct in these cases.

They can have the same meaning. I took a shower then I got dressed. I took a shower then I dressed. 'Got' is quite informal, and is more common in spoken language. 'Dress' is a little more formal, and sounds less colloquial.

Also, it is: "Which is correct?"

It depends on your sentence