The screen you saw does not necessarily mean that someone accessed your computer. Windows can sometimes display an update or restart screen for a while, and seeing a mouse cursor by itself is not evidence of remote access.
However, since the message appeared unexpectedly while you were using the computer, I would recommend checking a few things. First, go to Settings > Windows Update > Update history and check whether an update was actually installed around the time this occurred. The “last checked” time only indicates when Windows last checked Microsoft’s servers for updates; you can review the Update history separately to see what was installed. Microsoft explains how to review installed updates here: https://support.microsoft.com/windows/deployment/updates-lifecycle/windows-update-faq
I would also run a security scan:
- Open Windows Security.
- Select Virus & threat protection > Scan options.
- Run a Full scan.
- If you are still concerned, run Microsoft Defender Antivirus (offline scan). This restarts the computer and scans before Windows fully loads, which makes it more difficult for persistent malware to hide.