You can view saved Data Profiling results using Web Portal. Peak into both Distribution and Top values on Table Columns list.
Also you can navigate to column details and preview all data on Profiling tab. Notice, that you can click on the Distribution bar on the previous screen, to get redirected quicky.
For tables, you can view Row Count for the table. Both from table list view.
And also on table details view.
There is no possibility to start profiling from the Web Catalog.