Also own both.... My Pro's trigger is somewhat more gritty and has a tad more slop than my 34's. Maybe a just got one that was made near the end of the day on Friday before a long weekend. That written, the S&W feels better in my hand and shoots quite well BUT the Glock just shoots better for me due to being able to get it back on target quicker. Not sure why though but am guessing the grip, although less comfortable, just 'fits' better from a controllability standpoint.
Either way, both are great guns for a new shooter and should be reliable for many, many years.