1. (immediately) start doing or discussing something
this task needs doing immediately so I will get straight on it
The expression to get 'straight to it' means to do something directly or without delay. If someone asks you to do something can reply by saying 'yes, I'll get straight to it' meaning you will deal with it immediately. The expressions to get straight on it or get straight onto it are also used in the same way to say you intend to deal with something now, right away.