Ok, you do have a V1. That gives you more options for remote access.
The first step is to get a URL that will reach your home router. Generally your IP address will change, so a URL is much better. The way to get that is to sign up with a dynamic DNS server. There are some free ones (noip.com offers one). As part of that process, you will either need to configure your router to communicate with the ddns server, or install an app on your PC that does that. The PC method works just fine, as long as the PC is running when the IP address changes.
For web access, the best way is to use https, not http. With http your passwords, etc. are sent over the web in clear text, which is not a good thing.
To do this, you need to enable http on the shares you wish to access remotely. For a variety of reasons I use a non-standard port. To do that, you select a port and enter it as "port 2" in the https configuration (under standard file protocols). Any port over 49152 should be ok (meaning it should not collide with standard internet port usage). The standard port is 443. Whatever port you pick needs to be forwarded from the router to the NAS.
To use a non-standard port in your browser you put a ":xxxxx" after the url. For instance, https://nasurl:49152/shares
Getting a network share to work without ReadyNAS remote is more complicated, and depends on your version of windows. From the NAS point of view, you just enable WebDAV support for the share on the HTTP/S tab in Frontview (share listing). On the PC side, it can be very difficult to get this to work properly unless you install a third party WebDAV client. There are some instructions here: http://www.webdavsystem.com/server/access/windows
Personally I don't use WebDAV. Instead I have enabled FTP for my shares, and use FileZilla as my PC client. The Duo does support a secure FTP connection (FTP over Explicit TLS)