I found quite a few of the Hugo short-fiction nominees free online. Which means they were a couple of clicks away from my Kindle.
Novellas
Kiss Me Twice by Mary Robinette Kowal
The Man Who Bridged the Mist by Kij Johnson
Silently and Very Fast by Catherynne M. Valente
The Man Who Ended History: A Documentary by Ken Liu
Novelettes
The Copenhagen Interpretation by Paul Cornell
Fields of Gold by Rachel Swirsky
Six Months, Three Days by Charlie Jane Anders
Short Stories
The Cartographer Wasps and the Anarchist Bees by E. Lily Yu
The Homecoming, Mike Resnick
Movement, Nancy Fulda
The Paper Menagerie by Ken Liu.
The Shadow War of the Night Dragons, Book One: The Dead City (Prologue), John Scalzi
Those are links to the authors'/publishers' websites where the stories themselves can be legally read, or links to the (legally) downloadable ebooks can be found.