do some reading before u travel to a new country. If u're not aware of their culture and customs. do some reading could mean "do some research" before u actually do that thing. Like, read some guide books and other stuff on internet as well. To be better aware of that new place where ur travelling to. Do some reading also means to take up reading as a hobby or even for general knowledge. Hope it helps.

读些书do some reading 洗些衣服 do some washing 写点东西do some writing 多了(都是泛指)........