Nothing as standard will do that for you: you have to process them yourself, and that's possibly more complex that you think.
It's OK when your text is in exactly the form you show: string followed by a number on each line - but what if the string contains the number? Is that two strings and one number? Or the string up to the number, and ignore the rest? Or just ignore it all?
It's easy to get all the lines in the file as separate strings:
string[] lines = File.ReadAllLines(path);
Will do it, and it's easy to process each line into two parts assuming the number is at the end - a simple regex will do that:
(?<string>.*?)(?<number>\d+)$
All you have to do then is use int.Parse to convert the number match to an integer.
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