I have a Ipad 3rd gen can i update software above 9.3.5 software

Sorry, no, update is not possible.

iPad2, iPad3 or original iPad mini cannot be updated beyond iOS 9.3.5 (WiFi Only models) or iOS 9.3.6 (WiFi & Cellular).

Apple ended update support for these devices in September 2016. None of these models can be updated to iOS 10 or later versions, as the internal hardware does not meet the minimum technical requirements for new versions of iOS/iPadOS. The 32-bit architecture upon which they are built is effectively obsolete.

Many App Developers have also dropped support for older devices and iOS versions preceding iOS11/12/13 - and have withdrawn older versions of their Apps from the Apple App Store, now limiting utility and usefulness of older devices. 

If Apps that you need to use now have higher minimum iOS-version requirements, your only option is to replace your iPad with newer model. Of current models, even the entry-level iPad7/8 model supports current iPadOS14 - and has hardware specifications and capabilities that will vastly outperform your old iPad.

I hope this information is helpful - if only in clearly stating the limitations of your current iPad and available options.

Sorry no, because of hardware incompatibility.

Regards

Giulio

No, sorry, your iPad is simply too old for anything beyond 9.3.5. (9.3.6 for cellular).

It cannot run iOS 10, 11, 12, 13 or 14.