I can give you similar conky script but no 100%. You need to change the font, alignment and icon set.

Result

Step 1.

Install conky

sudo apt-get install conky

Step 2.

Install conky forecast

sudo add-apt-repository ppa:conky-companions/ppa

sudo apt-get update && sudo apt-get install conkyforecast

Step 3.

Save at home folder

• .conky1


• .conky2


• .weather-ob


• .conkyForecast.config

Step 4.

Open .conky2 and locate --location=MYXX0006

Replace MYXX0006 with you location code.

You can find your code here

Step 5.

Run your conky

By terminal:

conky -c ~/.conky1

conky -c ~/.conky2

Make startup application

Open startup application

Name : Conky1

Command : conky -p 20 -c ~/.conky1

Name : Conky2

Command : conky -p 20 -c ~/.conky2