How to say "see you this weekend?"
As stated in another answer, it should be 这个周末见 (which emphasizes that it is this weekend) or 周末见.

末见这个周 is incorrect, because it breaks up 周末: the characters comprise the word for "weekend" and must be together. So it must be that 周末 and any qualifers (here possibly 这个) must be before 见.

I could imagine 你 being thrown in as an object, but it is unnecessary and may sound awkward unless part of a larger phrase like in "周末见你啦" (which would appear to work, at least in Cantonese). But this would also change the emphasis of the phrase: 周末见 would suggest that meeting again is a mutual act, whereas the addition of 你 might suggest situations such as the speaker visiting the listener.