du you like swim?

do you like swimming是指一直以来的习惯
do you like to swim强调在某种特殊情况下
do you like swim这里的swim是作名词和do you like swimming一个意思

是Do you like swimming(动名词)?{like doing(sth)}

后者。动名词

do you like to swim?

do you like swimming?

do you like swimming/to swim

swim可以当名词用,看你想表达什么意思了