<p>I think it is a good thing to express appreciation, but a gift should probably wait until the work in the position is completed, or until a special occasion.</p>
<p>I agree with Mini. A letter of appreciation - -and doing an exemplary job -- are the "gifts" that would be appropriate including after you finish the internship.</p>
<p>Gift should be a very small token of appreciation...cookies , as above, or special chocolates accompanied by a handwritten note on an attractive card, but something small and symbolic not valuable and expensive--could also be something typical from your original hometown if you come from an "interesting" place.</p>