terminalpp supports both automatic detection of hyperlinks in the terminal text and explicit hyperlink definition using the OSC 8 escape sequence (as discussed for instance here).
Clicking on the hyperlink either opens it in default browser (left button), or copies the url to clipboard (right button). Note that in case of the explicit hyperlink sequences the displayed text can differ from the actual url.
Both automatic detection and ansi sequence hyperlinks can be turned or on off via the sequences.allowOSCHyperlinks and sequences.detectHyperlinks respectively.
The visual appearance of the hyperlinks can be specified in the renderer settings for normal and active (with mouse over) hyperlinks. Font atrributes, foreground and background colors are supported.
For more details see configuration.