Hi there, I recently moved to the Seeland Region, and it is a treck to go to the Jungfrau Region from here - but certainly doable. As you say, you will leave early in the morning. You can grab something at the train station to eat and drink along the way, sleep a bit if you are tired, enjoy the view as you enter the Berner Oberland at Thun. If it is something you want to do, don’t let the travel time stop you.
I will say that personally I don’t find Biel that interesting. You will be very close to Neuchâtel (19 min.), I would spend some of Day 1 there. Also very reachable by train is Murten (52 min.). Both have beautiful lakeside walks as well as very interesting old town areas to explore.
If you are interested in watches you can go up to La Chaux-de-Fonds (41 min.) https://www.myswitzerland.com/en-ch/experiences/on-the-trail-of-watches/
The Seeland (Lake Region, or Three-lakes Region) is extremely popular for cycling. You could rent an e-bike and explore that way. Cycling routes can be found here:
https://schweizmobil.ch/en/cycling-in-switzerland
Montruex can be reached in 1.5 hours, you can easily spend a day exploring that area. There is also Gruyères (2 h) where you can walk through the village, explore the castle, see the cheese making then head up the local mountain https://www.moleson.ch/en/ Lots of fun activities there. Stop at Cailler chocolate museum in Broc on your way back to Biel.
Edited to add that this is an area where having a car makes a lot of sense. You can drive Biel - Interlaken in just over 1 hour, but it seems you already have your train pass, so perhaps this is a moot point.