If you're not doing targeted analysis you should use a single quad, no point to use triple/tandem quad.

Tq increases sensitivity by filtering ions from the first by m/z, putting them through a collision cell, then sending some of those ions through another quad and monitoring specific m/z. But have to do method development for every compound you want to detect this way, method development only works of you have lots/a standard, so is useless for nontargeted analysis. Maybe a q-tof if you have access to one but not a tq.

Is it possible to do SQ by the TQ instrument? We havw TQ gcms in our lab and not sure if I can use it for none targeted analysis?

well that should be no problem at all. - depends of course a bit on the manufactorer.

However if you want a quick impression I agree Single quad is fine. However if you have to gain more info because the library match is not too good or you want to verify, product ion spectra (Daughter spectra) might come handy.

at least with the agilent gc-tq i've used you can just run it like a single quad. product ion scanning would come into play more with lc than with gc since lc-ms is generally soft ionization (eg apci-ms) and you don't get the same structural info with lc & one quad as you do with gc & scanning from electron impact with one quad...in other words to do similar library matching stuff via lc that you can do with gc-single quad in scanning mode, you would need to do a second collision and thus want a tandem/triple quad. From your use of SPME I assumed GC but I guess spme-LC is also a thing