1. Replacing your personal notebook with an app on a computer. That's where things like Excel, Jupyter (what I use), or EverNote, could work for you. It doesn't seem like there's much for a science-specific app to offer here.
2. Then there's electronic lab management, where you're not managing the entry of data so much as managing the people who work in the lab. This is where the software developers are active, with a variety of ideas for what lab management consists of, that probably vary depending on your discipline and industry. For instance, the website mentions protocols, collaboration, and security, none of which are issues in my work, but are very much issues in a large managed research group that is potentially in a regulated or litigous industry.
The first option works just fine for me, because it addresses the main feature of my work: Almost all of my experiments are automated, my data are produced in computer readable format, and all of my analysis is done with software. So I pretty much have a computer handy whenever I'm doing "lab" work. It would be a different story if I were, for instance, doing field or wet lab work. Then I'd probably stick with a paper notebook.