ALT OVERSHOOT WITH A LIGHT ACFT; NEW FO AND A CAPT THAT PUT TOO MUCH CONFIDENCE IN THE FO BACKGND.

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DURING CLBOUT; WE WERE ASSIGNED AN ALT OF 4000 FT. ADDITIONALLY; WE WERE GIVEN A TURN AFTER TKOF. I WAS HAND FLYING THE ACFT AND WAS ABSORBED IN THE TASKS OF RAISING FLAPS; AIRSPDS AND THE TURN. WHEN I LOOKED UP; I WAS AT AN ALT OF 3900 FT; CLBING AT 3500 FPM. I LEVELED OFF AS BEST I COULD CONSISTENT WITH PAX SAFETY. WE REACHED AN ALT OF 4350 FT BEFORE STABILIZING AND DSNDING BACK DOWN TO 4000 FT. THE REST OF THE FLT CONTINUED WITHOUT INCIDENT. IN RETROSPECT; I COULD HAVE USED THE AUTOPLT; WHICH WOULD HAVE SOLVED THE PROB COMPLETELY. AS A NEW PLT IN THE ACFT; I WAS TRYING TO LEARN THE FLT CHARACTERISTICS OF THE PLANE. HOWEVER; I SHOULD HAVE USED THE AUTOMATION AS I WAS INSTRUCTED. I CERTAINLY WILL FROM NOW ON. SUPPLEMENTAL INFO FROM ACN 497242: I SAW WE WERE 500 FT FROM ASSIGNED ALT BUT CLBING STILL AT 4000+ FPM. I TOLD THE FO TO LEVEL OFF AT OUR ASSIGNED ALT BUT HE WASN'T RESPONDING; SO I REPEATED THE COMMAND AND STARTED PUSHING THE YOKE FORWARD. WE ENDED UP OVERSHOOTING OUR ALT BY APPROX 400 FT. FO SAID HE WAS A LEAR COPLT; SO I MAYBE HAD TOO MUCH CONFIDENCE IN HIM.