Good-looking, brilliant, athletic, rich family, and on top of that he's even the student council vice president — your textbook perfect guy.
Literal
Appearance-beautiful, brain-brilliant, athletic-ability outstanding, family [topic-は] rich [copula-で], additionally student-council [possessive-の] vice-president doing-[also-たりもする], so-called perfect guy [copula-だ].
A character-description avalanche using 四字熟語 pairs: 容姿端麗 ('attractive appearance'), 頭脳明晰 ('brilliant mind'), plus 運動神経抜群 ('outstanding athleticism'). ついでに ('additionally, while we're at it') piles on one more quality. ~たりもする ('does things like, among other things') is the listing たり with も for 'even.' いわゆる ('so-called') frames the conclusion ironically. The stacking of attributes without connectives mimics breathless enumeration.