You cannot do either.
Upgrading/updating that iPad any farther will never, ever be possible.
That iPad model cannot ever upgraded any farther than iOS 9.3.5.
Your 9-year old, iPad 3rd gen model is too old, now.
Sorry.
Apple ended support for all 8-10-year old iOS devices well over 4 years, ago, in 2016.
Third party app developers abandoned and stopped supporting these 8-10-year old iOS devices nearly 3 years, ago, in 2018.
There are, virtually, NO MORE third party apps available from the iOS App Store, any longer!
Third party compatible apps for such old devices are few and far between, now, in 2021.
AND, that well over 4-year old default iOS Safari Web browser is too old, not secure and not safe to use to access the Internet, any longer.
There are virtually NO MORE third party Web browsers left for 8-10 year old iPads!
Available and more popular third party Web browser choices are pretty much GONE, now.
If you must use these old iPad models, here is what is left for still updated Web browsers.
Pickins’ are slim, now!
ALook Web browser ( A fairly new Web browser primarily designed for old iOS device versions, but is still available to newer iOS/iPadOS devices, as well )
Dolphin Web browser
Maxthon Web browser
TOR private browser
TOR + VPN private browser
Turbo VPN private browser
This is pretty much it for iOS 9/10 compatible, third party Web browsers today.
Simply put, a 3rd gen iPad is too old and obsolete now.
Sorry, but this is the reality for ALL 8-10-year old AND OLDER iOS devices now. Especially going into 2021!
There is one last thing you can try/attempt, if you need an older version of an app, such as for Netflix.
If you own much newer iOS device that can run either iOS 12 and.or iOS/iPadOS 13 and later, you can install the most recent app/s onto that more recent iOS device.
Then go back to your older iPad, open the iOS App Store, go to the Purchases section of the store app, search for the app/s you wish to try and download to that older iPad and see if an older version of the app is allowed to be downloaded/installed to that older iPad.
These newer iOS/iPadOS devices must use your same Apple ID user account and password as the older device you ard trying to get an older app for.
Failing that OR IF NO joy, then there is nothing more to be done.
For YouTube, using one the newer, aforementioned third party Web browsers, you can use the actual YouTube Website, instead, and login to the YouTube Website using your normal YouTube account login credentials.
Using a Web browser to view YouTube videos and main video gallery will be much slower BUT THIS WILL WORK!
It's 2021 now!
If you need/want an iPad with an up to date iPadOS with access to current, updated apps, then you really need to seriously consider a purchase of a new iPad model OR a much, MUCH “newer” and less expensive, refurbished or used iPad models, from better known, trusted Apple product/device retailers/resellers, locally or online, on the Web/Internet, capable of running the latest iPadOS versions.
There are PLENTY of newer, older iPad models that can run the latest, current versions of iPadOS.
I am sorry that you had to learn all of this, but this does not change any of the facts regarding these very old iOS devices.
Sorry & Best of Luck to You!