Yep, as said above, all you need is your ticket.
If you are good walkers, there is an alternative to bus, taxi or funicular: the paved, dedicated pedestrian path, a combo of ramps and steps, that runs beside the funicular line. It's said to take 15 minutes or so heading downhill (MUCH easier than the climb up!) and eliminates those long waits for transport. It does involve managing steps.
It's covered in "Capri Town to Marina Grande directions" here:
https://www.rometoolkit.com/naples_visit/capri_walking.html
It's also mentioned on the Capri website:
https://www.capri.com/en/bus-schedule?srsltid=AfmBOop7g4Zt5ChddKWz85Qk03TrmqUNNxYDPvzTnGBsroTNAClPdfvn
"Tip for the return trip: in the late afternoon, lines for the return to Marina Grande can get long. If you’re traveling light and feel like stretching your legs, you can walk down to the port via Via Mulo (don't take this; I think it goes to Marina Piccola) or the old funicular path – it’s a scenic 10-minute walk."
And here:
https://ai-tourguide.net/tour/capri-tour-en.html
"...the funicular up (you'd be traveling DOWN) to/from the Piazzetta costs a couple of euros and saves your legs, but the ticket line backs up badly when two ferries unload at once. If the queue is long, the walking path beside it gets you up (DOWN) in about fifteen minutes." That depends, of course, on how fast you walk.
Just another option. :O)
We enjoyed Capri - liked it better than the 1/2 day or so in Positano - but also stayed 2 nights on the island versus do it as a day trip, and either avoided some of the more visited stuff or did it early in the morning.