Ultraweak, similar to 300-fs pulses at 1.5 mu m are measured by second-harmonic generation intensity autocorrelation and frequency-resolved optical gating using aperiodically poled LiNbO3 waveguides. Our reference-free scheme can retrieve complex fields with 120-aJ coupled pulse energy, corresponding to a sensitivity of 2 x 10(-6) mW(2), similar to 5 orders of magnitude better than the previous record.