I want to buy Photoshop, but now it seems like i bought something else.. is creative cloud the same as photoshop?
It does not sound like you have a problem. Creative Cloud is the vehicle thru which you download and install Photoshop and any of the other applications that are available thru Adobe's Creative Cloud. So if you purchased a Photoshop subscription, then you should be able to install it thru the Creative Cloud desktop application.
Download/install the desktop application, sign in, install the subscription application(s).
Creative Cloud for desktop
Sign out, Sign in | Creative Cloud desktop app
Install, update, or uninstall apps
Cloud Plans https://creative.adobe.com/plans
-Subscription Terms https://www.adobe.com/misc/subscription_terms.html
-Purchasing FAQ https://forums.adobe.com/thread/1926340
-Special Photography Plan includes Photoshop & Lightroom & Bridge & Mobile Lightroom