Here is the log after running :PluginInstall
Somehow there is some issue with the Vundle plugin. All other plugins installed just fine.

Did you done while using sudo command?
No I just used :PluginInstall as a command line in Vim. I am still getting the same log even though the rest of the plugins installed just fine and are working perfectly in Vim.
I got the same thing but when I tried to run vim as root(sudo vim) this error is disappeared.
@whitecloudy is right You cloned as sudo Vundle.vim and now you execute vim as normal user.
Output is saying it cannot write into /Users/lesteryang/.vim/bundle/Vundle.vim (for doc and updates of .git)
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I got the same thing but when I tried to run vim as root(sudo vim) this error is disappeared.