How would I get my website online?

[Penguin]

So essentially I'm a student and I made a simple website for one of my aunts. She knows nothing about computers and lives in the other end of the country. All I want to do is get the website online for her I suppose she will have to purchase a domain name and then a server but I don't know what company is good to use and considering she has no computing experience at all as in can barely use a mouse I'm a tad bit worried about her paying for something and then being unable to use it. Can anyone advise me on what to do?
If she were to purchase a server from a company I assume she will be given the appropriate details which can then be passed onto me and then I can upload it through the use of Filezilla. Is there anything wrong with this strategy? Can you recommend a decent company to use with phone support if possible (for her sake) thanks.