Suggested reading

(Newstead's book being the main recommendation):
GIT: 
Newstead, P. E.
Introduction to moduli problems and orbit spaces.
Tata Institute of Fundamental Research Lectures on Mathematics and Physics, 51.
Tata Institute of Fundamental Research, Bombay; by the Narosa Publishing House, New Delhi, 1978. vi+183 pp. ISBN 0-387-08851-2 .

Vector bundles on curves:
dto. and
Le Potier, J.
Lectures on vector bundles.
Translated by A. Maciocia. Cambridge Studies in Advanced Mathematics, 54.
Cambridge University Press, Cambridge,
1997. viii+251 pp. ISBN: 0-521-48182-1

Decorated or augmented vector bundles:

Bradlow, Steven(1-IL); Daskalopoulos, Georgios D.(1-PRIN); García-Prada, Oscar(F-PARIS11); Wentworth, Richard(1-HRV)
Stable augmented bundles over Riemann surfaces.
Vector bundles in algebraic geometry (Durham, 1993), 15--67,
London Math. Soc. Lecture Note Ser., 208,
Cambridge Univ. Press, Cambridge, 1995.

Schmitt, Alexander
A universal construction for moduli spaces of decorated vector bundles over curves.
Transform. Groups 9 (2004), no. 2, 167--209.