List Posts Alphabetically in a New Page

I’ve found plenty of info on changing your site to show posts alphabetically accross the board, but what I want to do, I can’t find any info on.

I want to keep everything the way I have it, but I’d like to just add one new page (which uses the same templates as the rest of my site) that lists all my posts alphabetically.

I’d like it to just show the post titles, which can be clicked on to view the full post.

I need to get this done in a hurry, any help would be appreciated.