The Northern Brewer kits generally have the recipe online. There is a link to the instructions (including the Plinian Legacy Small Batch Recipe kit) on the "Additional Information" tab - click on the link in the "Recipe and Instructions" row.
It looks like you are brewing a one gallon kit
( http://www.northernbrewer.com/small-batch-starter-kit-with-the-plinian-legacy) with a one gallon carboy.
The online recipe does a hop stand - adding the hops after flameout and letting it sit for five minutes. Makes sense - as its not easy to dry hop 42 grams (1.5 oz) of hops into a one gallon carboy.
You'll get a reasonable 1st batch by following the timing in the instructions. You'll be likely be rewarded with a better beer by following @flars timings - wait three weeks (rather than two) before bottling. The same would hold with bottle conditioning - the insructions suggest two weeks, but if you can wait another week, the 1st bottle will likely be better.
Hydrometer readings require 4 oz of beer. If you choose to get a hydrometer, you may want to hold off on your first (of hopefully just two) reading until the end of the 2nd week (around day15). (Refractometers are also an option and have been covered well in other threads in the forum).
links to the kit