To integrate SyntaxHighlighter into blogger you have to edit the HTML of your template:
|how to get to editing your blogger template|
|editing the template html|
Here is the snippet I inserted:
Finally I add the core css file to the page as well as a css file with the theme I choose. You can pick your own theme that matchs your site.
Finally, please consider hosting these files on your own server (although that can't be blogger). If you are using the files hosted by Alex himself, as in the examples, please consider making a donation to cover his bandwidth costs and to show your appreciation with the work he's done.