Blade produces HTML on the server. A template is ordinary HTML with a few extra instructions for conditions, loops and inserting values. Templates inherit from each other, so the header and footer exist once instead of again on every page.
Blade takes two things off your hands. Inserted values are escaped by default, which rules out the most common form of cross-site scripting from the start. And there are components: recurring parts such as a card or a form field are defined once and used everywhere.
When server-side is the right choice
HTML produced on the server is there immediately. It works without JavaScript, search engines read it directly, and it needs no second application that has to be built and shipped. For most classic line-of-business applications that is the simpler answer.
As soon as an interface holds a lot of state of its own, that shifts. Then the route runs through an API and a front end of its own. Both routes can be combined in one application; there is no need to decide globally.