In order to get the list of all blocks currently added to the chain just navigate to the Blocks tab and viola, you see the updated list.
You can also search for public key hash block id block hash etc, by entering your search text in the input field of the header as shown in the
image below.
Note: We currently are in development phase of adding blocks APIs to Localnodes. Hence, we haven't released support to display blocks while using Localnodes.