Some do date, others don't.
Same as some practicing hindu girls, catholic girls, sikh girls, fundamentalist christians and other religious christians girls do.
Some religious mormon girls too.
The fundamentalist members of islam won't date, they oppose all free mixing of adults of opposite biological sex outside of the family and are committed to arranged marriages.
Some ultra-conservatives of islam have similar beliefs as regards considering it a sin for two opposite sex adults that are unmarried to be alone unless there is either a medical emergency or the male guardian of the woman has provided his permission.