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The normal levels are 3/4/5, with 5 being Senior Engineer. It is normal for you to progress up level 5, Senior. What that level means is this: Google has something that needs to be done, and knows that you can take care of it on your own with no problems. In other words, Google knows what the problems is, knows what the answer is, and trusts you to get it done and take care of the details.
The next level is 6, Staff Engineer. What this means is: Google knows what the problem is, but does not know what the answer is, but trusts that you will figure out how to solve the problem. Levels above 6 are more concerned with identifying problems/goals, and figuring out which ones to tackle (in addition to the things in all the other levels).
https://www.quora.com/How-does-one-become-a-Staff-Software-Engineer-at-Google-What-might-a-new-grad-entering-the-company-do-to-grow-their-career-to-reach-that-level
The next level is 6, Staff Engineer. What this means is: Google knows what the problem is, but does not know what the answer is, but trusts that you will figure out how to solve the problem. Levels above 6 are more concerned with identifying problems/goals, and figuring out which ones to tackle (in addition to the things in all the other levels).
https://www.quora.com/How-does-one-become-a-Staff-Software-Engineer-at-Google-What-might-a-new-grad-entering-the-company-do-to-grow-their-career-to-reach-that-level