Which sentence is grammatically correct?
Try and get some rest
(or)
Try to get some rest
Which sentence is grammatically correct?
Try and get some rest
(or)
Try to get some rest
They are both correct, and synonymous. The "try and" version is fairly colloquial, however.
Incidentally, the "try and" version doesn't have inflected forms: we don't say *"tries and gets", for example.