I did auto glass for 5 years. I agree with the comments above, it may not be worth the risk, especially if you don't want a leak. I would never recommend doing a mid century domestic with chrome trims, but this is a Toyota, it is possible you'll succeed. Professionals know all the tricks and have all the small details that add up-tools, solvents, windshield rack. Hell, even disposal is a pain. A pro would probably do this job in 20-60 minutes. You could be stuck without any unbroken window on your side of the pacific-there is risk you will break the new one.
The original description is pretty close, but I'll add a bit...
I've never seen a starlet up close, but I think the old Tercels and Corollas were rubber gasket(most were rusted into retirement by the time I did this). You will want a hook tool and smooth synthetic rope (the white stuff, think it's nylon, it is less abrasive and lower friction). And probably a couple buddies if you don't know what you are doing.
I would practice by removing the old one. Remove wiper arms and any other cowling or trim parts in the way. Check to see if hard adhesive is between car body and gasket, and gasket and windshield. You can use plastic stick or olfa blade to separate. Climb in the car with a buddy and using spread out hands put even pressure along the top of the windshield. Important detail is spread out the force, you don't want to crack the window.
While pushing lightly on the glass, use hook tool to start to unhook the inner lip of gasket. Start at one corner. It is an import car, not a POS domestic, so it will likely start to release easily. You can continue to push along the top and sides. Once top three sides are out, unhook bottom corners and by now the windshield should be near vertical.
Climb out of the car, and lift the old glass and gasket out , keeping vertical so it doesn't crack. You may want to attempt reinstalling old one as per below for practice.
Clean the pinch weld of any adhesive or sealant, and 30 year dirt. Fix interior trim if it came loose.
Lay the new windshield on a windshield rack, inside up. Clean the inside. Install new gasket. Start with corners and work it all on. Take that 1/4" rope, leave about 1-2' loose on first end, and starting at bottom middle, feed it into the groove that wraps around pinch weld. You should have at least 1' sticking out for both ends or the rope at the bottom center of the windshield, one crossing the other.
For lube we used silicone spray sparingly. You could use soapy water, but can prevent sealing with adhesives. Lift window upright, and put it on top of the opening, center it up.
Get two people to put spread out steady pressure on the window on the outside. You climb in, and start the rope pulling process.
Pulling always toward the middle of the window(to pull back lip), start on ne side, and get if around the bottom corner. the rubber lip will be wrapping around pichweld as you go. Do the other lower corner. You can use hook tool to pull in any lip that resists. Go back and do the other side to top corner. Do the other side around top corner. Finish off to the middle.
If any of the gasket is not fully set in, you can slap the windshield with spread palms, kind of toward the middle of the window, it should fall in place.
Next is adhesive/sealant. ***Whatever it had before you should use again.***. Urethane would be smooth and hard, you probably had to cut it out. Butyl sealant would be sticky or kind of dried out.
Use disposable gloves. Cut a fine tip on your caulking tube. Start on glass side to minimize mess, always starting far away, going towards you. Stick the tip between glass and rubber, run small bead all the way around, inside the window groove. You only need enough to contact and seal. Repeat between body and rubber.
Clean up with rags and solvent. you can use new SS safety razors on glass side, spraying foam glass cleaner to prevent scratches. Hopefully you aren't all black. Clean window and reinstall other parts.
good luck!
Marc.