Yup, Chrome 20" Sears Spyder. It's a 3-speed, rather than a 5, but that's still good to go. Those Shimano 333 internal 3-speed hubs failed a lot. I've been lucky with the ones I've turned around, but I know there have been some that are toast inside.
Good news: Looks like an easy restore. Tear it down, polish it, replace the seat, and you're good to go. You could even put a new slick on it, like a Duro, to make it a nice rider that still has that 60's look.
To watch out for: Oil the hub, but DON'T OPEN IT!! You need special tools to get it back together. I learned the hard way. Put some oil in it. (I recommend Teflon oil) and run it through, drain it, and do it again. If it runs and shifts fine, you're golden. If not... you may consider buying another one, or maybe someone has a wheel. Or maybe lacing a Nexus, non-Coaster hub in there. (But that will be tricky with that old stick shift.)
Let us know if you need any help with questions or advice!