i sugget shopping to him,这句话正确吗

宾格。

1）名词、代词或动名词；suggest sb doing sth
2）疑问词引导的不定式或宾语从句；suggest what to do/ what we should do
3）that引导的宾语从句:当做建议的意思讲时，后面所接的从句要用虚拟语气形式.

动词suggest有如下一些用法:
一、有"建议"的意思.advise，propose也有此义,请比较它们用法的异同:
1)都可接名词作宾语
Shesuggested/advised/proposedanearlystart.她建议早一点出发.
Wesuggested/advised/proposedavisittothemuseumthenextday.我们建议明天去参观博物馆.
2)都可接动名词作宾语
Isuggested/advised/proposedputtingoffthesportsmeet.我建议将运动会延期.
Theysuggested/advised/proposedwaitinguntilthepropertime.他们建议(我们)等到恰当的时机才行动.
3)都可接that宾语从句,that从句用should+动词原形,should可以省略.
Shesuggested/advised/proposedthattheclassmeeting(should)notbeheldonSaturday.她建议班会不要在星期六举行.
Wesuggested/advised/proposedthathe(should)goandmakeanapologytohisteacher.我们建议他去向老师道歉.
4)advise可接动词不定式复合宾语,propose可接不定式作宾语.
Iadvisedhimtogiveupthefoolishidea.=Isuggested/proposedhis/himgivingupthefoolishidea.我建议他放弃那愚蠢的念头.(suggest和propose在口语里可接动名词的复合宾语).
Wepropos