https://my.playstation.com/
This was only just announced on the Japanese PlayStation Blog but the website is also already functional in multiple languages (including English) and with both my European and US account
My PlayStation lets you access PSN features through a browser, such as checking your friend lists, viewing/accepting friend requests and sending messages (including those cute PS stamps) to your PSN friends. You can also view your trophies and check/edit your profile.
PlayStation Blog Japan also writes that in the future, SEN account managing features will be migrated to My PlayStation as well.
These features were already available in the mobile app, so I guess you can see My PlayStation as a web version of that.
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