If your PSU is at least 520W, you should be able to just take the 1050 out and put the 3060 ti in. You don't even need to install a new driver or anything.
About PCI generations: some games might take advantage of PCI-E Gen 3 but most don't. And even if it makes a difference, you'll still gain a lot of fps.
So absolutely worth it, just slap a 3060ti in there, nothing to worry about!
Apart from the 520W+ PSU!! And if your PC lacks cooling, your system might get a bit hot.. But modern hardware simply throttles if that's the case so don't worry too much!
And due to the efficiency of the new cards, you'll have more fps with a throttled 3060ti at 120w compared to a 2070 that throttles at 120w.
And if it throttles: just take off the side panel for gaming, lol.