Lightroom on the web? Yes, there’s a web version of Lightroom.
What is it? It’s web based version of Lightroom that you access from within a web browser. You can easily access, organize, and share photos you’ve synced from Lightroom on the desktop, Lightroom mobile for devices or dragged directly into the web browser interface. Lightroom on the web also allows you to edit photos, including cropping, making adjustments, and applying presets.
If this is the first you’ve come across a web based version of Lightroom then more details can be found at Lightroom on the web.
Lightroom on the web – sign-in
Having signed in you’ll be greeted with a screen not unlike Lightroom mobile. The default view is Grid view (for viewing photos in collections).
Lightroom on the web – Grid View
On left side you’ll see all of the Collections you’ve synced, and along the top are options searching photos, adding photos, sharing photos, and displaying a slideshow. You can also apply flags or ratings in this view. Clicking on a thumbnail in Grid view opens the photo into Loupe view. Here you can switch to Edit view by clicking on a button located at top left corner of loupe view window 
In this view you can non destructively edit your photos.
Lightroom on the Web – Edit mode
Lightroom on the web shares many of the editing features found in Lightroom mobile, and like mobile any edits you apply will be synced back to your other devices and Lightroom desktop catalog.
Lightroom on the web – Develop Presets
November Updates
As of November 2016 Adobe has introduced a number of enhancements to Lightroom on the web. These are primarily focused on Sharing. For example, you can now add a header graphic, add sections within your Shares, and add text describing the sections.
Lightroom on the web – Selecting photos to share
If you have already tried it, then do so!