Wordpress is sort of famous for it's "5 minute install". Most web hosts these days have tools within their client control panels that you can use to install Wordpress automatically. It doesn't get much easier than that.
If you want to install it manually, it's not very hard either. You just need your FTP login information, a MySQL database and the path and login information for that as well. You download Wordpress from Wordpress.org. Unzip it, and upload the files to your web hosting account via FTP (use a free FTP program such as Filezilla). Then point your browser to the "wp-admin" folder within the Wordpress folder you just uploaded (yourdomain.com/wordpress/wp-admin) and it will walk you through the rest of the installation steps.