The ASTER L1B files contain several subdatasets with different resolutions. That's why you can not easily add them to QGIS. You have to run gdalinfo and gdalwarp on it to get a tif file that QGIS can import:
gdalinfo AST_L1B.hdf >>info.txt
gives you a long list of metadata. Look out for the subdatasets:
Subdatasets:
SUBDATASET_1_NAME=HDF4_EOS:EOS_SWATH:"AST_L1B.hdf":VNIR_Swath:ImageData1
SUBDATASET_1_DESC=[4200x4980] ImageData1 VNIR_Swath (8-bit unsigned integer)
SUBDATASET_2_NAME=HDF4_EOS:EOS_SWATH:"AST_L1B.hdf":VNIR_Swath:ImageData2
SUBDATASET_2_DESC=[4200x4980] ImageData2 VNIR_Swath (8-bit unsigned integer)
SUBDATASET_3_NAME=HDF4_EOS:EOS_SWATH:"AST_L1B.hdf":VNIR_Swath:ImageData3N
SUBDATASET_3_DESC=[4200x4980] ImageData3N VNIR_Swath (8-bit unsigned integer)
SUBDATASET_4_NAME=HDF4_EOS:EOS_SWATH:"AST_L1B.hdf":VNIR_Swath:ImageData3B
and take the full name of the first one:
gdalinfo HDF4_EOS:EOS_SWATH:"AST_L1B.hdf":VNIR_Swath:ImageData1 >>sds1.txt
This gives you detailed information of the CRS and extent of that subdataset:
LOWERLEFT=63.4513647453478, -151.617477277645
LOWERRIGHT=63.2162350711876, -150.220604276473
UPPERLEFT=63.9822445743476, -151.179093369548
UPPERRIGHT=63.7426354293633, -149.760000938454
SRS=PROJCS["UTM Zone 5, Northern Hemisphere",GEOGCS["Unknown datum based upon the GRS 1980 ellipsoid",DATUM["Not specified (based on GRS 1980 spheroid)",SPHEROID["GRS 1980",6378137,298.257222101,AUTHORITY["EPSG","7019"]]],PRIMEM["Greenwich",0],UNIT["degree",0.0174532925199433]],PROJECTION["Transverse_Mercator"],PARAMETER["latitude_of_origin",0],PARAMETER["central_meridian",-153],PARAMETER["scale_factor",0.9996],PARAMETER["false_easting",500000],PARAMETER["false_northing",0],UNIT["Meter",1]]
Next we transform it to a Geotiff:
gdalwarp HDF4_EOS:EOS_SWATH:"AST_L1B.hdf":VNIR_Swath:ImageData1 sds.tif
Creating output file that is 6063P x 5573L.
Processing input file HDF4_EOS:EOS_SWATH:AST_L1B.hdf:VNIR_Swath:ImageData1.
0...10...20...30...40...50...60...70...80...90...100 - done.
which can be loaded with corrcet CRS information and extent by QGIS.
You have to do that with every subdataset you want.