Once or twice a day, the Twitter app on my phone shows a notification that shows me one highlighted tweet followed by "More Tweets".
How can I get to this list of tweets manually? If I dismiss the notification, I can't get to this page.
I assume you are talking about the trend suggestions, which include a "More Tweets" button to load more such suggestions.
On the Desktop Twitter Website this button can be found in the top right: 
If that's what you mean, then you can find all trends by visiting this link: https://twitter.com/i/trends
Mobile equivalent: https://mobile.twitter.com/i/trends
It will show trending worldwide, unless you have your twitter settings changed to only show certain countries.
