So they're actually replacing the entire computer then!
(The keyboard and monitor don't count. They're only 'peripherals').
What you'll get back is a new computer, with Windows already installed on it. (That will almost certainly be Windows 10 unless, very unusually, you've gone to a store where they still offer older versions of Windows). All of your folders containing things like Word documents, photos and videos will be on it but the only software on it will be what comes with Windows (unless the store installs anything else themself).
The following points come to mind:
1. Your web browser:
If you've got loads of bookmarks on your browser, make sure that the store exports them to an HTML file and then reimports them into the browser on your new computer. Computer stores have a nasty habit of forgetting to do that, meaning that you could lose hundreds (or thousands) of bookmarks if you're not careful. Alternatively, assuming that your old computer is still in your possession, you could export your bookmarks to an HTML file yourself now and either save it onto a USB stick or email it to yourself (so that you can download it back again when you've got your new computer). If you need instructions please tell us which browser you're using (Internet Explorer, Chrome, Firefox, etc).
2. Your web browser again:
Windows 10 comes with both Internet Explorer and the newer (and better) browser from Microsoft, Edge. However if you've been using an alternative browser, such as Chrome or Firefox, it won't be on your new computer; you'll need to download and install your chosen browser again.
3. Your office suite:
Most versions of Windows 10 either don't come with Microsoft Office or come with only a time-limited trial of it. So you'll either need to pay a lot of money to get it onto your new computer or, far better, download and install OpenOffice instead:
https://www.openoffice.org/
(NB: While OpenOffice can handle files in Microsoft formats, it doesn't routinely save them in those formats by default. You can get around that by selecting 'Save As', instead of 'Save', and selecting a Microsoft format but it makes more sense to change the default behaviour by following these instructions:
https://helpdeskgeek.com/office-tips/set-openof%EF%AC%81ce-org-to-save-in-microsoft-of%EF%AC%81ce-format-by-default/ )
3. Your PDF viewer;
Windows doesn't come with a PDF viewer, so you'll need to download and install either Adobe Acrobat Reader
https://get.adobe.com/uk/reader/
or, better in my opinion, something like Sumatra PDF
https://www.sumatrapdfreader.org/free-pdf-reader.html
(If you decide to go for the Adobe software, make sure that you deselect the 'optional offers')
4. Your antivirus software:
Windows 10 comes with Microsoft's own anti-virus program built into it, so you shouldn't need to do anything. However if you've got a subscription with Norton, Kaspersky or another provider, you'll lose their software. If you want to carry on using it you'll need to reinstall it and to contact the provider, explaining your problem, to get it activated.
5. Your DVD viewing program:
Unlike earlier versions of Windows, Windows 10 doesn't come with a program for watching DVDs built into it. If that's what you want to do, you'll need to download and install something like VLC:
https://www.videolan.org/vlc/download-windows.en-GB.html
6. Your picture viewing program:
Windows 10 has a basic image viewer built intoit but Irfanview is far better:
http://www.irfanview.com/
7. Your banking software:
If you use online banking it's possible that your bank requires you to use some of their own security software. If you had such software on your old computer you'll need to download and install it again onto your new one.
8. Drivers for your printer/scanner:
Your computer won't work with your existing printer/scanner until you've installed the relevant software. You'll find that on the disc which came with the device or you can download it.