A local server is a webserver but it is not connected with the WorldWideWeb, it is just running on your local computer. That's why it is a local server.
It's never wrong to work on a local webserver, develop there and customize your GetSimple before you publish everything in the wild. Doing so, you have the chance to learn the new system before it is activated, to test plugins or themes …
These server-software-packages are either called LAMP (Linux, Apache, MySQL, PHP/Perl/Python) or WAMP (Windows, Apache, MySQL, PHP/Perl/Python) and their job is to deliver content from webpages (HTML etc.) like the webservers which deliver the content in the WWW.
You work with the local server the same way like you work with a real webserver. The only difference is that you do not need to ftp your files to the server, using a file explorer on your local machine does the job.
There are some software-packages out there, and they are free (mostly). The mostknown package is XAMP from Apachefriends, but this is a real big bundle.
Others are Vertrigo Serv or Server2Go, to name a few.
A comparison sheet of WAMP-servers: http://en.wikipedia.org/wiki/Comparison_of_WAMPs
Each of these packages come with readmes, tutorials on their webpages or forums. So we can expect to find answers for our questions.
The installation of GetSimple on a local webserver is nearly identical with the installation on your webspace:
www or htdocshttp://127.0.0.1 or http://localhosthttp://127.0.0.1:4011. When you start the server (server2go.exe) with administrator rights, the server opens in the browser with http://127.0.0.1 and it is possible to navigate to http://127.0.0.1/getsimpleto have the installation started.If you developed your site in a local GetSimple installation but later want to publish it in the Web, you must know that it's not only uploading all files to the public server. It is recommended to do a new GetSimple install (the process will set the necessary file permissions), and then uploading your data, theme, plugins, etc.
See full details here: http://get-simple.info/wiki/installation:migrating
(If you just upload all, your site might not work. If it does, it could be vulnerable.)
Please note: links to images etc. are stored in your data with absolute URLs, not relative URLs. So you will run into problems when you just copy your data files to the server.
What you can do: