You don’t want to put dates in the filter, as with that you’d need to edit it every week (other than that it is feasible of course).
What you had some time ago ie Col1 >= CURDATE() AND Col1 < CURDATE() + INTERVAL 7 DAY
would work ok, but if you don’t want it to show any data from ‘next’ week, then you’d need to put dates for let’s say Monday on all rows and then next Monday’s date on rows from next week and so on.