Berg was named to the first team while Kaprielian earned third team honors.
Bruce was the infield coach, recruiting coordinator & hitting assistant for the past five years.
This is Berg's fourth first team honor and Kaprielian's first of 2015.
UCLA will have players featured in the Cape Cod, New England, Northwoods and West Coast Leagues.
David Berg also won the NCBWA Stopper of the Year Award in 2013.
David Berg, Griffin Canning, James Kaprielian and Kevin Kramer were all honored this week.
Ty Moore, Grant Watson, Chris Keck and Tucker Forbes were each selected on day three.
Poteet and Berg join James Kaprielian and Kevin Kramer as 2015 Bruin draftees.
Kramer is the second Bruin to be selected on day one of the MLB Draft, joining James Kaprielian.
Kaprielian becomes the Bruins' 19th first round selection and fifth under Head Coach John Savage.
Berg joins 10 other student-athletes to earn NCBWA District Player of the Year status.
Nick Kern was honored as a second team Pac-12 All-Academic selection.