Yes, you can see the granular breakdown using our visual tools by doing the following steps:
a. Click 'Monitor' tab on left bar
b. Identify the pipeline run for the copy operation
c. Click on the 'View Activity Runs' icon under the pipeline run
d. Click on 'Details' icon under the 'Actions' column for your activity run
e. You can see how much time was spent in queue, in actual transfer, throughput, duration etc.
The time taken is not linear with the amount of data being transferred. You can transfer data from blob to SQL DW which was the case that I was showcasing at a throughput of 1 GB/s meaning you can transfer 1 TB worth of data in close to 20-25 mins. Please give it a try and let us know if you see any perf issues.