  A primary new capability of JWST is the ability to penetrate the dust in star
forming galaxies to identify and study the properties of young star clusters
that remain embedded in dust and gas. In this paper we combine new infrared
images taken with JWST with our optical HST images of the star-bursting barred
(Seyfert2) spiral galaxy NGC 1365. We find that this galaxy has the richest
population of massive young clusters of any known galaxy within 30 Mpc, with
$\sim$ 30 star clusters that are more massive than 10$^6$ Msolar and younger
than 10 Myr. Sixteen of these clusters are newly discovered from our JWST
observations. An examination of the optical images reveals that 4 of 30
($\sim$13$\%$) are so deeply embedded that they cannot be seen in the I band
(AV $\gt$ 10 mag), and that 11 of 30 ($\sim$37$\%$) are missing in the HST B
band, so age and mass estimates from optical measurements alone are
challenging. These numbers suggest that massive clusters in NGC 1365 remain
obscured in the visible for $\sim$ 1.3 $\pm$ 0.7 Myr, and are either completely
or partially obscured for $\sim$ 3.7 $\pm$ 1.1 Myr. We also use the JWST
observations to gain new insights into the triggering of star cluster formation
by the collision of gas and dust streamers with gas and dust in the bar. The
JWST images reveal previously unknown structures (e.g., bridges and overshoot
regions from stars that form in the bar) that help us better understand the
orbital dynamics of barred galaxies and associated star-forming rings. Finally,
we note that the excellent spatial resolution of the NIRCAM F200W filter
provides a better way to separate barely resolved compact clusters from
individual stars based on their sizes.
