In a big surprise, people visit your website to see what's going on. They might visit once to see who you are, why you've started your church, your church's beliefs, where you're located, etc. After that, if they return, it's to see what's happening. That goes for current members and potential members, and you should take notice.
I know, you have a Facebook page for that. At least embed it in your website then. Don't just link out and expect miracles. The problem with Facebook or Twitter is that the content is over there. It's not on your website, which is linked from Google Maps, and where people will actually show up to learn more about your church. If the last article you have on your website is about Vacation Bible School in 2013, then that's the last thing that happened at church.
Yes, it's a pain to write something each week. It's also a pain to lose church members to the church that does do this. People are looking for a church that is open in what it does. Many volunteers are willing to write a little something about the latest luncheon or church picnic. A paragraph is fine. Like a Facebook post, but more meaningful because it's forever a part of YOUR website.
Even the best church websites fail in one aspect that's a pet peeve of mine: money. Many churches have Donation pages, but very few let us know where our money is going. Instead of making a category just to receive donations, how about that ends up being your main blog section? Missions, perhaps. You can go ahead and have Paypal donation link set up, but the articles should be about what you do with the money you'll be getting. I'm saying you post salaries publicly, or even the total amounts, but an article about how that money from Fund X paid for all the materials for Activity Y. That's all it would take to let people know how important those funds are. If you can do this once a week or even once a month, you're good.
If you don't want money to even come up, then post weekly sermons or weekly announcements. Just copy and paste something into the website and call it an update. If you use Wordpress (and probably some of the other CMSs), you can do this by sending an email or using the app. It's like tweeting or posting to Facebook, but it makes a lot more sense.