Can a website be made before it goes online and tested by myself to make sure it is going well ?
Yes you can test to your hearts content. Dreamweaver website design software allows you to design the entire site on your computer and you can play around with it and get things to look and act the way you want to before uploading it to your ftp server (thats where its stored on a server and accessible by anybody that types the web address into their bar).
The design itself isnt complicated and there is many many websites available when you search that can guide you through it as long as you are patient you will manage just fine.
The part i found difficult and to this day still dont fully understand it was getting my website to appear on googles search results and as you design and read into things you will encounter this. Its a combination of keywords on your webpage code (a bit like tag lines for a youtube video) and using googles webmaster tools but it will all make sense when you start getting into this.
Like i said dont give up when you hit a speed bump just try and overcome it as best you can and like you've posted on this forum for help there is a million forums for webdesign aswell.
Good Luck