The same way you started it before replacing the battery.
Dead cell in the battery or something is on pulling power from the battery.
If you need to jump start the car then the battery may be fully charged but it is defective and needs replacing. A full charged battery will read 12.6 volts at the posts with the engine not running. 12 volts indicates the battery is only 25% charged.
It should be no different than before. Just start it up. If it want start make sure the cables are tight. If this doesn't help you got other problems.
alternator or bad wires
unplug the battery for 2min
Start replacing the 2000 s10 alternator by disconnecting the battery. Remove the air inlet hose, and the serpentine belt. Take off the bracket over the alternator if it has one. Unbolt the alternator and disconnect the wires. Reverse the procedure to install the new alternator.
It would help to know the sensor that needs resetting.
Two ways; hold the key fob near the dashboard and depress the unlock button for several seconds until the cycling stops ~or~ disconnect the negative lead to the battery again, turn the key in the ignition to the "ON" position (as if the car was running), and then reconnect the battery. This is a security feature on Subarus.
Start by replacing the Engine Coolant Temperature Sensor
If the 2000 Cavalier has no lights an will not start, there is an electrical issue. Check the battery, alternator, and the wiring from the battery all the way to the starter to find the problem.
it probably needs a new battery
That means the alternator needs to be replaced. You probably found this out by now.