Bicycling Monterey 💚🌎🌍🌏April 28 is Big Sur Marathon. BSM includes resource for visitors who want to reduce traffic congestion (and carbon emissions) by using a bicycle to get around while enjoying Monterey County. https://www.bigsurmarathon.org/guide/bicycling-monterey/
Best overall Big Sur tips, including links to road closure info and much more: the website of @Bigsurkate, https://bigsurkate.blog.
If you're thinking of biking Big Sur coast while here, see https://bikemonterey.org/big-sur-bicycling-tips-for-the-big-sur-coast.html (and also note its reminders about checking Big Sur Kate's site).