Premiere Elements and Premiere Pro are both video editors, with Premiere Elements being the far lower priced program and with not all the advanced features of Premiere Pro (which you may or may not need for your projects). Often there are workarounds to get the best possible from Premiere Elements for these Premiere Pro "advanced features".
Premiere Pro is one of the Creative Cloud applications, Premiere Elements is not. At a purchase level, that means that you purchase Premiere Pro on a subscription basis. With Premiere Elements, it is an outright purchase of license.
The following is buyers' guide for Premiere Elements purchases
The following Adobe document FAQ
What’s the difference between Premiere Elements and Premiere Pro?
Premiere Elements offers options for every level of user so it’s easy .for video enthusiasts to get started making great-looking movies. Premiere Pro provides the ultimate toolset for professional video production.
What are your video production goals?
Consider downloading and installing the free 30 days tryout of the Premiere Elements 14 and determine its compatibility with your computer environment and project goals.
Lots and lots of things to discuss. Please consider the above, and do not hesitate to ask if any questions or need clarification on the above.