You can use the hop straight from the plant but be aware that fresh hops can be stronger then dried hops.
Also that plant looks ready to be harvested, three indications you can use to see if the hops are ripe:
1. When you rub a cone between your fingers it should feel and crackle like paper
2. Hop cones contain lupulin, this is needed for the brewing process, in the beginning of the growth it will have a lighter color turning later on in golden
yellow, that is the wright color, the brown cones are to far gone, these you can discard
3. Ripe hops smell a little bit like beer, if they smell grassy it is not ripe enough yet
You can dry the cones in the oven @ 140F (60C) in not to thick layers, if the stems break easily they are dry enough, but better is to dry it in open air in a sunny spot during two to three days and turning them regularly on a dry rack which you can easily make from screen mesh:
View attachment 695748
Hope this helps a bit.