Drupal 6 Clinic: How To Easily See The Weights Of CCK Form Fields
Alternatively, if you don't want to mess around with your browsing settings (and most Drupal developers will have some level of database access for the site they're working on), you can run this nice and simple query on your database:
SELECT * FROM content_node_field_instance WHERE type_name = "your content type" ORDER BY weight;
This can be very useful if you need to do something like write an _update hook in a custom module to alter the weight of one or more CCK form fields.
I imagine something similar is also very possible in Drupal 7, and I'll update this post if and when I check out how this works for Drupal 7.
UPDATE: This is even easier in Drupal 7, as on the manage fields display screen for a content type in Drupal 7 there is an option to toggle between the drag and drop interface and viewing the field weight dropdown form fields.