If you are using Outlook with POP3 email, it is simple and easy to access it from another computer.
Just set up the second computer with the same account information and it will access the email just like the first one.
BUT, if you are downloading your mail from the POP3 account, it will no longer be accessable by the second computer, so you need to take this into consideration.
What you can do (for example) is to set up one or both of the computers to NOT delete email from the server. Here is a common situation: You have Outlook email at work, but want to be able to access it from home sometimes, mostly to check it on your day off or if you are working from home. In this case you set up Outlook on your home computer, but tell it to NOT delete email. This way, you can send and received email at home via your work account, but you can still download the mail when you return to work.