Looking on the internet deeply has found these results:

like to read a book is the most popular phrase on the web.

like reading a book 1458,000 results on the web	like to read a book 121,400,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
Which became like reading a book you've read before. Like reading a book to a cow It's like reading a book on gardening when all you've got to do is get dirt underneath your fingernails.	I can only assume the driver stopped off halfway round to read a book. I tried to read a book. I'd like to read a passage from a book that talks about the impact of a single tree Not like you to read a book. It's like... trying to read a book where one chapter was written in Chinese, one in cyrillic and another in hieroglyphics and then the pages are fed through a shredder and pasted back together. It's like trying to read a book and someone keeps ripping out the pages. He managed to read a book written in French.

like reading a book

1458,000 results on the web

like to read a book

121,400,000 results on the web

More popular!

Which became like reading a book you've read before.
Like reading a book to a cow
It's like reading a book on gardening when all you've got to do is get dirt underneath your fingernails.

I can only assume the driver stopped off halfway round to read a book.
I tried to read a book.
I'd like to read a passage from a book that talks about the impact of a single tree
Not like you to read a book.
It's like... trying to read a book where one chapter was written in Chinese, one in cyrillic and another in hieroglyphics and then the pages are fed through a shredder and pasted back together.
It's like trying to read a book and someone keeps ripping out the pages.
He managed to read a book written in French.