Great that you're looking to get into coding with a tangible project, and python is a great language choice for getting the basics down.
It might actually make sense to do some fun coding challenges to get some facility in the language, before doing a project that might be more broadly useful. Here are some sites that offer these kinds of challenges:
A no frills number theory challenge website -- one of my favorites, has a very wide range of skill levels, the first 50 or so may be doable: https://projecteuler.net/archives
A competitive online platform for software development and algorithm challenges, topcoder is a bit more advanced, but has well constructed problems, here is a search to get you started with their least challenging problems (still tough): http://community.topcoder.com/tc?module=ProblemArchive&sr=&er=&sc=&sd=&class=&cat=&div1l=&div2l=&mind1s=90&mind2s=90&maxd1s=&maxd2s=&wr=
There are some others like codefights, but I'm not as big of a fan: https://codefights.com/
To answer your question specifically, it really matters what you're interested in. Do something that you'll find fun and rewarding for the entire length of the project. Some of these examples (from my side projects) might be a lot to bite off for a first project, but may serve as inspiration for the types of things you can do:<hr>
A website that turns selfies into elfs, adding ears and an elf hat to pictures given an out of the box facial recognition library: http://myelfieselfie.com
Use python and some out of the box libraries to control your music / lights using sonos / hue: https://github.com/skier31415/socopi/blob/master/control.py
Playing a game like tic tac toe or a variation of it, potentially having a one player version where you can play the computer (artificial intelligence): https://github.com/skier31415/Quarto/blob/master/board.py<hr>
If you want to make a simple web app, I strongly recommend Flask, which is a lightweight python framework: http://flask.pocoo.org/
If you want to use a GUI (graphical user interface) that only runs on your computer (not served on the web), I suggest Tkinter https://wiki.python.org/moin/TkInter
There's always a lot to learn and more to do, don't overwhelm yourself, and pick something small to start.
Hope this helps !