How to handle single entries of a custom post type?

As per comments the single view of your CPT will be handled according to template hierarchy. Within appropriate template you can use template tags normally, so simply get_post() without arguments will get you a current instance.

It is a little more tricky if you want to refer to a specific post in code outside of its context.

The most reliable within custom site is hardcoding its ID. Personally I also use get_page_by_title() (despite name can work on arbitrary post type) which is easier for human to read, but depends on title staying unchanged.