I assume by "access", you mean "send transactions from". If you only mean "view account balance", you can type the public address into a block explorer like https://etherscan.io.
First, you type out the contents of the screenshot you took and save it in a plain text file (using something like Notepad on Windows or TextEdit.app on a Mac -- not using a word processor like Word or Pages). Then, in myetherwallet, use the menu item "Send Ether & Tokens", select Keystore File as the option, click "Select Wallet File..." and select your newly created plain text file. It'll ask you for your password. Enter that. And then you're off to the races.