On port 35000 of any node with Arcengine installed, you can view the queries that have been submitted directly against that node:
By default, you can view the last 256 completed queries that have been submitted. To override this limit, you can set this Arcengine flag:
Its important to keep in mind that the larger you set this limit, the longer it may take to load the Queries page. If you need access to longer amounts of query history, you should take a look at this post which discusses how to create and access a historical queries table in Arcadia.