Plants and objects pop in in the distance because even the best of existing graphics cards cannot render everything.
On pc you can modify Skyrim.ini and add the line:
[General]uGridsToLoad=7
or 9, or 11, or more. An interesting thread there: http://www.gamesas.com/topic/1274926-ugridstoload-skyrimini-comparisons-and-explanation-default-57911/