For bottom end - I assume the 3.0 LF1 is really similar to the 3.6 LFX - the pistons and crank are forged already, so no issues there. The rods are not forged though, they're powdered metal (still better than cast rods though), but the real limiting factor would be that the comp is 11.5:1 in the LFX and 11.7:1 in the LF1 - so you couldn't exactly shove 20psi of boost up it's arse without dropping the compression or going to water meth injection like the 5th gen Camaro dudes do with LFX motors in the US. Worth noting that the twin turbo version of the LFX uses a 10.2:1 comp ratio and "strenghtened" connecting rods for 12psi of boost, and then the later LF4 goes to titanium rods for 18psi (LF4 rods might be a good option if you were to build a high boost LFX I reckon).
The box - they're a 6L50e off the top of my head. Plenty good for a worked N/A 6, probably fine for a little boost, but I've heard of issues happening with big boost, and also there's probably a reason why the V8s come with the beefier 6L80e (or Tremec T56 for manuals). If it were up to me I'd at least talk to a reputable auto box builder about it.
Certainly not saying you can't put some mild boost on a 3.0 or 3.6 with an untouched box and bottom end, I think it'd be fine. I'd be when you want more power than just mild boost where the expense of building boxes and bottom ends comes in