According to a whole bunch of users on Reddit it looks like the new 3.50 update for PS4 also speeds up downloads to the console. A lot of users report download speeds that are 3-4x as fast as before. We also did a test ourselves and it seems indeed that downloading a new game or update comes in at almost full speed (in our case upto 200mb/s).

A 5 gigabyte game now downloads within 15 minutes, while before this took a lot longer. The new speeds seem to reflect the same speeds that can be reached on Steam. No official news from Sony about this yet, so far.

Also, as reported before, you can increase general internet speeds on the console by using better DNS servers.

The new 3.50 update is available since yesterday and adds a whole bunch of new features to the console.