Process usually goes as follows:
+Apply online/complete personality assessment
+Phone interview
+HR interview
+Department or assistant department manager interview
+Vendor interview
The interview and hiring process is pretty general as far as cosmetic positions in a department store goes, if you are not filtered out by the personality assessment, you'll get a phone interview with HR that'll consist of typical questions like "Why do you want to work for Nordstrom", "What do you feel you can contribute to the company?", etc.
If the phone interview goes well, then you'll be scheduled for an in person interview with HR, where they will ask you questions that you will need to provide examples for, such as "Tell me about a time where you demonstrated leadership amongst a team", "Tell me about a time where you had to achieve a high goal, and how did you go about achieving it", etc.
If the in-person interview with HR goes well, then you'll be scheduled an interview with a department or assistant department manager who will ask you general cosmetic related questions regarding your history, your existing knowledge, etc. They will likely take you down to the sales floor, and have you pick something to sell to them.
And lastly, if that interview goes well, they will usually have you interview with a vendor, if you are looking to be placed to a specific counter and/or brand.