Being an avid user of Gmail and Google Apps myself, I know that it's not as simple as it seems, there's a few steps involved.
You have to redirect all of your work emails to your personal one, verify that you own your personal email, verify (again) that you own your work email so you can send mail through that address and setup a filter so that things don't go into super confusion mode. Long!
Thankfully for you, I'll tell you exactly how you can acomplish this! I'm so nice.
Follow these steps:
Login to your work email account
Go to Settings on the top-right corner of your screen and select Forwarding and POP/IMAP -> Add a forwarding address
Enter your personal email, along with a tag, such as: username+business@gmail.com where business would be the tag that you associate your work emails to (although this can be anything, make it easy to tell what it is)
Login to your personal Gmail account
Go to Settings -> Filters -> Create a new filter
In the To: field, put the address you chose for forwarding your business mail to (in my example, username+business@gmail.com and, on the next step, choose to apply a new label (called Business for example)
Still in Settings, go to the Accounts tab and Add another email address you own
Put in your business email (lets say username@company.com and also specify the same address as the reply-to address and you can choose to use either SMTP server (I usually don't bother)
Accept both authorizations sent to either emails and you're done!
When mail arrives at your work box, it will be redirected to your personal box but with whatever label you chose (in the example, Business). Makes it much simpler to organize your mail in a way that won't consume your time searching for it.
Hope this helps!
You have two options, the one that gives you the most control, setting up a google apps account, or the one that is easiest to setup, using your host's pop3 in gmail.
I personally use the first option. I've currently got Google Apps setup on my own domain, dkuntz2.com. The gmail account for my apps (don@dkuntz2.com) is set to forward all mail to my gmail account and archive everything (so I still have it if I need it). This is in settings -> forwarding and pop3.
On my gmail account, I set it up so that I can access the dkuntz2 account (it's in settings -> accounts, just type in the email address, that one will get a message saying confirm, you click the link and bingo, you've got send access). This way, everything is controlled by a central gmail account, but I can still send as dkuntz2. I've also done this with two other domains, and it works soundly so far.
In my own settings I've also told it to respond as the address that's mailed to (so if I get a dkuntz2 email it sends it as dkuntz2, same for the other addresses), and each address also has it's own signature (more fun settings).
Best Answer
Not anyone, only the administrators of Google Apps for Work of your organization could track the activity and could have access to information of you Gmail for Work account.
References
Data access by your administrator or service provider - Google Accounts Help