My solution to the problem is to grab my phone, record my biking trajectory with sports tracker and get an estimation of the elevation (total number of meters uphill, and total number of meters downhill) with the help of GPS.
Estimating the elevation is a tricky problem and may be quite inaccurate (in contrast to lat/lon estimation of the GPS coordinates). In case you need something a lot more precise, you may export your path in sports tracker as gmx track, import that into google maps and get a bit better estimate.
I am afraid that you cannot see the elevation in the phone itself. It is computed after you upload your trajectory to the server.
If you ever plan to move to Europe/Germany then you could use open route service developed by some Academic institution (but which one?), save your trajectory as gmx file, and get the elevation visualized with the help of e.g. GPS Visualizer.
Hope you find the post useful.