What is gpg2 algo 1 and 8 concerning its signature-procedure?
I assume that algo 1 means RSA


Correct. From RFC 4880:


9.1.  Public-Key Algorithms

      ID           Algorithm
      --           ---------
      1          - RSA (Encrypt or Sign) [HAC]
      2          - RSA Encrypt-Only [HAC]
      3          - RSA Sign-Only [HAC]
      16         - Elgamal (Encrypt-Only) [ELGAMAL] [HAC]
      17         - DSA (Digital Signature Algorithm) [FIPS186] [HAC]
      18         - Reserved for Elliptic Curve
      19         - Reserved for ECDSA
      20         - Reserved (formerly Elgamal Encrypt or Sign)
      21         - Reserved for Diffie-Hellman (X9.42,
                   as defined for IETF-S/MIME)
      100 to 110 - Private/Experimental algorithm



  What is algo 8?


It indicates that SHA-256 was used for computing the hash. Again, from the RFC:


9.4.  Hash Algorithms

      ID           Algorithm                             Text Name
      --           ---------                             ---------
      1          - MD5 [HAC]                             "MD5"
      2          - SHA-1 [FIPS180]                       "SHA1"
      3          - RIPE-MD/160 [HAC]                     "RIPEMD160"
      4          - Reserved
      5          - Reserved
      6          - Reserved
      7          - Reserved
      8          - SHA256 [FIPS180]                      "SHA256"
      9          - SHA384 [FIPS180]                      "SHA384"
      10         - SHA512 [FIPS180]                      "SHA512"
      11         - SHA224 [FIPS180]                      "SHA224"
      100 to 110 - Private/Experimental algorithm




You might want to try to get some practice in reading RFCs. It can be a bit overwhelming at first, but the information is all there - especially for the OpenPGP standard which is extensively documented.