I'll be updating the OP throughout the day as rumours or leaks surface and then the final picks & trades after the draft.
Player Selections: Rumoured
1.

Anaheim -
Haydn Fleury 1YR $1.3M CH
2.

Arizona -
Tyler Pitlick 1YR $1.75M CH
3.

Boston -
Jeremy Lauzon 1YR $850k CH
4.

Buffalo -
William Borgen RFA
5.

Calgary -
Mark Giordano 1YR $6.75M CH
6.

Carolina -
Morgan Geekie 1YR $750k CH
7.

Chicago -
John Quenneville UFA
8.

Colorado -
Joonis Donskoi 2YR $3.9M CH
9.

Columbus -
Gavin Bayreuther UFA
10.

Dallas -
Jamie Oleksiak (Signed to 5YR $4.6M CH)
11.

Detroit -
Dennis Cholowski RFA
12.

Edmonton is No Good -
Adam Larsson (Signed to 4YR $4M CH)
13.

Florida -
Chris Driedger (Signed to 3YR $3.5M CH)
14.

Los Angeles -
Kurtis MacDermid 1YR $875k CH
15.

Minnesota -
Carson Soucy 2YR $2.75M CH
16.

Montreal -
Cale Fleury RFA
17.

Nashville -
Calle Jarnkrok 1YR $2M CH
18.

New Jersey -
Nathan Bastian 2YR $825k CH
19.

New York Islanders -
Jordan Eberle 3YR $5.5M CH
20.

New York Rangers -
Colin Blackwell 1YR $725k CH
21.

Ottawa -
Joey Daccord 2YR $750k CH
22.

Philadelphia -
Carsen Twarynski RFA
23.

Pittsburgh -
Brandon Tanev 4YR $3.5M CH
24.

San Jose -
Alex True RFA
25.

St. Louis -
Vince Dunn RFA
26.

Tampa Bay -
Yanni Gourde 4YR $5.166M CH
27.

Toronto -
Jared McCann 1YR $2.94M CH
28.

Vancouver -
Kole Lind RFA
29.

Washington -
Vitek Vanecek 1YR $716k CH
30.

Winnipeg -
Mason Appleton 1YR $900k CH
Player Selections
Forwards: 15/14 [Pitlick, Geekie, Quenneville, Jarnkrok, Bastian, Blackwell, Eberle, Twarynski, Tanev, Donskoi, True, Gourde, McCann, Lind, Appleton]
Defencemen: 12/9 [Fleury, Lauzon, Borgen, Giordano, Bayreuther, Oleksiak, Cholowski, Larsson, MacDermid, Soucy, Fleury, Dunn]
Goalies: 3/3 [Driedger, Daccord, Vanecek]
Signings that count as a selection
[D Oleksiak, D Larsson, G Driedger]
Total cap hit: Approx.
54/48.9M minimum required.
Number of selected players under contract for 21-22:
26/20