If you're only going to follow one account, using Twitter in the hub isn't necessary, and the stock twitter app should be just fine, unless you expect this account to be mentioning you and sending you messages, like if it's a personal friend and not a corporation.
I took a screencap so you can conceptualize what it looks like when someone mentions you. These are what appears in the hub. Since you've been mentioned, it draws your attention to the message. Personal information about those that have mentioned me has been blocked out, but you can see that all of them say @ImpyChick. That's me, and it shows me that I've been mentioned.
http://i142.photobucket.com/albums/r...ps89ded935.png
ETA: It doesn't appear that in the stock version of twitter (the current version I have is 10.0.2.14 according to the info in settings) lets you control the frequency of tweet updates. However, if you're in the app itself, all you have to do is pull the tweet list down and it'll refresh and show you the latest tweets.