As of now, there is no function in Honeycode that returns the current week of the year. However, for a solution, you can define the weeks in a table and only display data in your app that is within the start and end date of the current week.
For example, here's a table that defines weeks:
Then in the app, create a variable that defines the current week by checking if TODAY() is greater than or equal to the start date and less or equal to the end date:
Formula in this example is:
=FINDROW(Weeks,"Weeks[Start Date]<=TODAY() AND Weeks[End Date]>=TODAY()")
Then set up a list with a FILTER to only display rows for the current week. This will provide your desired results of only showing rows for the current week:
=FILTER(Tasks,"Tasks[Due]>=$[CurrentWeek][Start Date] AND Tasks[Due]<=$[CurrentWeek][End Date]")
Hope this example helps! Let us know if you have any other questions.